Basic Math Examples

3 (b - (2 b - 4)) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (b - (2 b - 4)) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

3 (b - (2 b) - - 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (b - (2 b) - - 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.1.2

Multiply

2

$2$ by

- 1

$- 1$ .

3 (b - 2 b - - 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (b - 2 b - - 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.1.3

Multiply

- 1

$- 1$ by

- 4

$- 4$ .

3 (b - 2 b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (b - 2 b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

3 (b - 2 b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (b - 2 b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.2

Subtract

2 b

$2 b$ from

b

$b$ .

3 (- b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (- b + 4) - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.3

Apply the distributive property.

3 (- b) + 3 \cdot 4 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$3 (- b) + 3 \cdot 4 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.4

Multiply

- 1

$- 1$ by

3

$3$ .

- 3 b + 3 \cdot 4 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$- 3 b + 3 \cdot 4 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.5

Multiply

3

$3$ by

4

$4$ .

- 3 b + 12 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b - (- b - 1)) - 2 (- (1 - 4 b) - b)$

Step 1.6

Simplify each term.

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Step 1.6.1

Apply the distributive property.

- 3 b + 12 - 11 (1 - b - - b - - 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b - - b - - 1) - 2 (- (1 - 4 b) - b)$

Step 1.6.2

Multiply

- - b

$- - b$ .

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Step 1.6.2.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

- 3 b + 12 - 11 (1 - b + 1 b - - 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b + 1 b - - 1) - 2 (- (1 - 4 b) - b)$

Step 1.6.2.2

Multiply

b

$b$ by

1

$1$ .

- 3 b + 12 - 11 (1 - b + b - - 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b + b - - 1) - 2 (- (1 - 4 b) - b)$

- 3 b + 12 - 11 (1 - b + b - - 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b + b - - 1) - 2 (- (1 - 4 b) - b)$

Step 1.6.3

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

- 3 b + 12 - 11 (1 - b + b + 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b + b + 1) - 2 (- (1 - 4 b) - b)$

- 3 b + 12 - 11 (1 - b + b + 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 - b + b + 1) - 2 (- (1 - 4 b) - b)$

Step 1.7

Combine the opposite terms in

1 - b + b + 1

$1 - b + b + 1$ .

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Step 1.7.1

Add

- b

$- b$ and

b

$b$ .

- 3 b + 12 - 11 (1 + 0 + 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 + 0 + 1) - 2 (- (1 - 4 b) - b)$

Step 1.7.2

Add

1

$1$ and

0

$0$ .

- 3 b + 12 - 11 (1 + 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 + 1) - 2 (- (1 - 4 b) - b)$

- 3 b + 12 - 11 (1 + 1) - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 (1 + 1) - 2 (- (1 - 4 b) - b)$

Step 1.8

Add

1

$1$ and

1

$1$ .

- 3 b + 12 - 11 \cdot 2 - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 11 \cdot 2 - 2 (- (1 - 4 b) - b)$

Step 1.9

Multiply

- 11

$- 11$ by

2

$2$ .

- 3 b + 12 - 22 - 2 (- (1 - 4 b) - b)

$- 3 b + 12 - 22 - 2 (- (1 - 4 b) - b)$

Step 1.10

Simplify each term.

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Step 1.10.1

Apply the distributive property.

- 3 b + 12 - 22 - 2 (- 1 \cdot 1 - (- 4 b) - b)

$- 3 b + 12 - 22 - 2 (- 1 \cdot 1 - (- 4 b) - b)$

Step 1.10.2

Multiply

- 1

$- 1$ by

1

$1$ .

- 3 b + 12 - 22 - 2 (- 1 - (- 4 b) - b)

$- 3 b + 12 - 22 - 2 (- 1 - (- 4 b) - b)$

Step 1.10.3

Multiply

- 4

$- 4$ by

- 1

$- 1$ .

- 3 b + 12 - 22 - 2 (- 1 + 4 b - b)

$- 3 b + 12 - 22 - 2 (- 1 + 4 b - b)$

- 3 b + 12 - 22 - 2 (- 1 + 4 b - b)

$- 3 b + 12 - 22 - 2 (- 1 + 4 b - b)$

Step 1.11

Subtract

b

$b$ from

4 b

$4 b$ .

- 3 b + 12 - 22 - 2 (- 1 + 3 b)

$- 3 b + 12 - 22 - 2 (- 1 + 3 b)$

Step 1.12

Apply the distributive property.

- 3 b + 12 - 22 - 2 \cdot - 1 - 2 (3 b)

$- 3 b + 12 - 22 - 2 \cdot - 1 - 2 (3 b)$

Step 1.13

Multiply

- 2

$- 2$ by

- 1

$- 1$ .

- 3 b + 12 - 22 + 2 - 2 (3 b)

$- 3 b + 12 - 22 + 2 - 2 (3 b)$

Step 1.14

Multiply

3

$3$ by

- 2

$- 2$ .

- 3 b + 12 - 22 + 2 - 6 b

$- 3 b + 12 - 22 + 2 - 6 b$

- 3 b + 12 - 22 + 2 - 6 b

$- 3 b + 12 - 22 + 2 - 6 b$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract

6 b

$6 b$ from

- 3 b

$- 3 b$ .

- 9 b + 12 - 22 + 2

$- 9 b + 12 - 22 + 2$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract

22

$22$ from

12

$12$ .

- 9 b - 10 + 2

$- 9 b - 10 + 2$

Step 2.2.2

Add

- 10

$- 10$ and

2

$2$ .

- 9 b - 8

$- 9 b - 8$

- 9 b - 8

$- 9 b - 8$

- 9 b - 8

$- 9 b - 8$