Simplify 4(a-b)+3(a-b)

$4 (a - b) + 3 (a - b)$

Step 1

Simplify each term.

Apply the distributive property.

$4 a + 4 (- b) + 3 (a - b)$

Multiply $- 1$ by $4$ .

$4 a - 4 b + 3 (a - b)$

Apply the distributive property.

$4 a - 4 b + 3 a + 3 (- b)$

Multiply $- 1$ by $3$ .

$4 a - 4 b + 3 a - 3 b$

$4 a - 4 b + 3 a - 3 b$

Step 2

Simplify by adding terms.

Add $4 a$ and $3 a$ .

$7 a - 4 b - 3 b$

Subtract $3 b$ from $- 4 b$ .

$7 a - 7 b$

$7 a - 7 b$

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