Solve for a 2(-7a+6)=-16-7a

$2 (- 7 a + 6) = - 16 - 7 a$

Simplify $2 (- 7 a + 6)$ .

Rewrite.

$0 + 0 + 2 (- 7 a + 6) = - 16 - 7 a$

Simplify by adding zeros.

$2 (- 7 a + 6) = - 16 - 7 a$

Apply the distributive property.

$2 (- 7 a) + 2 \cdot 6 = - 16 - 7 a$

Multiply.

Multiply $- 7$ by $2$ .

$- 14 a + 2 \cdot 6 = - 16 - 7 a$

Multiply $2$ by $6$ .

$- 14 a + 12 = - 16 - 7 a$

Move all terms containing $a$ to the left side of the equation.

Add $7 a$ to both sides of the equation.

$- 14 a + 12 + 7 a = - 16$

Add $- 14 a$ and $7 a$ .

$- 7 a + 12 = - 16$

Move all terms not containing $a$ to the right side of the equation.

Subtract $12$ from both sides of the equation.

$- 7 a = - 16 - 12$

Subtract $12$ from $- 16$ .

$- 7 a = - 28$

Divide each term in $- 7 a = - 28$ by $- 7$ and simplify.

Divide each term in $- 7 a = - 28$ by $- 7$ .

$\frac{- 7 a}{- 7} = \frac{- 28}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 a}{- 7} = \frac{- 28}{- 7}$

Divide $a$ by $1$ .

$a = \frac{- 28}{- 7}$

Simplify the right side.

Divide $- 28$ by $- 7$ .

$a = 4$