Basic Math Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $2$ by $- 1$ .

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

Step 1.1.3

Multiply $- 1$ by $- 4$ .

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

Step 1.2

Subtract $2 b$ from $b$ .

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 1$ by $3$ .

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

Step 1.5

Multiply $3$ by $4$ .

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

Step 1.6

Simplify each term.

Tap for more steps...

Step 1.6.1

Apply the distributive property.

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

Step 1.6.2

Multiply $- - b$ .

Tap for more steps...

Step 1.6.2.1

Multiply $- 1$ by $- 1$ .

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

Step 1.6.2.2

Multiply $b$ by $1$ .

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

Step 1.6.3

Multiply $- 1$ by $- 1$ .

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

Step 1.7

Combine the opposite terms in $1 - b + b + 1$ .

Tap for more steps...

Step 1.7.1

Add $- b$ and $b$ .

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

Step 1.7.2

Add $1$ and $0$ .

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

Step 1.8

Add $1$ and $1$ .

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

Step 1.9

Multiply $- 11$ by $2$ .

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

Step 1.10

Simplify each term.

Tap for more steps...

Step 1.10.1

Apply the distributive property.

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

Step 1.10.2

Multiply $- 1$ by $1$ .

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

Step 1.10.3

Multiply $- 4$ by $- 1$ .

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

Step 1.11

Subtract $b$ from $4 b$ .

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

Step 1.12

Apply the distributive property.

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

Step 1.13

Multiply $- 2$ by $- 1$ .

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

Step 1.14

Multiply $3$ by $- 2$ .

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

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $6 b$ from $- 3 b$ .

$- 9 b + 12 - 22 + 2$

Step 2.2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.2.1

Subtract $22$ from $12$ .

$- 9 b - 10 + 2$

Step 2.2.2

Add $- 10$ and $2$ .

$- 9 b - 8$