Evaluate 2(5v+6)-6(-9v+2)

$2 (5 v + 6) - 6 (- 9 v + 2)$

Step 1

Simplify each term.

Apply the distributive property.

$2 (5 v) + 2 \cdot 6 - 6 (- 9 v + 2)$

Multiply $5$ by $2$ .

$10 v + 2 \cdot 6 - 6 (- 9 v + 2)$

Multiply $2$ by $6$ .

$10 v + 12 - 6 (- 9 v + 2)$

Apply the distributive property.

$10 v + 12 - 6 (- 9 v) - 6 \cdot 2$

Multiply $- 9$ by $- 6$ .

$10 v + 12 + 54 v - 6 \cdot 2$

Multiply $- 6$ by $2$ .

$10 v + 12 + 54 v - 12$

Step 2

Simplify by adding terms.

Combine the opposite terms in $10 v + 12 + 54 v - 12$ .

Subtract $12$ from $12$ .

$10 v + 54 v + 0$

Add $10 v + 54 v$ and $0$ .

$10 v + 54 v$

Add $10 v$ and $54 v$ .

$64 v$