Basic Math Examples

$2 - 3 (2 a + b - 7) + 4 + 3 (4 a - 5 b + 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 - 3 (2 a) - 3 b - 3 \cdot - 7 + 4 + 3 (4 a - 5 b + 1)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 3$ .

$2 - 6 a - 3 b - 3 \cdot - 7 + 4 + 3 (4 a - 5 b + 1)$

Step 1.2.2

Multiply $- 3$ by $- 7$ .

$2 - 6 a - 3 b + 21 + 4 + 3 (4 a - 5 b + 1)$

Step 1.3

Apply the distributive property.

$2 - 6 a - 3 b + 21 + 4 + 3 (4 a) + 3 (- 5 b) + 3 \cdot 1$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $4$ by $3$ .

$2 - 6 a - 3 b + 21 + 4 + 12 a + 3 (- 5 b) + 3 \cdot 1$

Step 1.4.2

Multiply $- 5$ by $3$ .

$2 - 6 a - 3 b + 21 + 4 + 12 a - 15 b + 3 \cdot 1$

Step 1.4.3

Multiply $3$ by $1$ .

$2 - 6 a - 3 b + 21 + 4 + 12 a - 15 b + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2$ and $21$ .

$- 6 a - 3 b + 23 + 4 + 12 a - 15 b + 3$

Step 2.2

Add $- 6 a$ and $12 a$ .

$6 a - 3 b + 23 + 4 - 15 b + 3$

Step 2.3

Subtract $15 b$ from $- 3 b$ .

$6 a - 18 b + 23 + 4 + 3$

Step 2.4

Simplify by adding numbers.

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Step 2.4.1

Add $23$ and $4$ .

$6 a - 18 b + 27 + 3$

Step 2.4.2

Add $27$ and $3$ .

$6 a - 18 b + 30$