Simplify -2(8d+10f)-7f-10(-7f+7d)

$- 2 (8 d + 10 f) - 7 f - 10 (- 7 f + 7 d)$

Step 1

Simplify each term.

Apply the distributive property.

$- 2 (8 d) - 2 (10 f) - 7 f - 10 (- 7 f + 7 d)$

Multiply $8$ by $- 2$ .

$- 16 d - 2 (10 f) - 7 f - 10 (- 7 f + 7 d)$

Multiply $10$ by $- 2$ .

$- 16 d - 20 f - 7 f - 10 (- 7 f + 7 d)$

Apply the distributive property.

$- 16 d - 20 f - 7 f - 10 (- 7 f) - 10 (7 d)$

Multiply $- 7$ by $- 10$ .

$- 16 d - 20 f - 7 f + 70 f - 10 (7 d)$

Multiply $7$ by $- 10$ .

$- 16 d - 20 f - 7 f + 70 f - 70 d$

$- 16 d - 20 f - 7 f + 70 f - 70 d$

Step 2

Simplify by adding terms.

Subtract $70 d$ from $- 16 d$ .

$- 86 d - 20 f - 7 f + 70 f$

Subtract $7 f$ from $- 20 f$ .

$- 86 d - 27 f + 70 f$

Add $- 27 f$ and $70 f$ .

$- 86 d + 43 f$

$- 86 d + 43 f$

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