Solve for m -2(5+6m)+16=-90

$- 2 (5 + 6 m) + 16 = - 90$

Step 1

Simplify $- 2 (5 + 6 m) + 16$ .

Simplify each term.

Apply the distributive property.

$- 2 \cdot 5 - 2 (6 m) + 16 = - 90$

Multiply $- 2$ by $5$ .

$- 10 - 2 (6 m) + 16 = - 90$

Multiply $6$ by $- 2$ .

$- 10 - 12 m + 16 = - 90$

Add $- 10$ and $16$ .

$- 12 m + 6 = - 90$

Step 2

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

Subtract $6$ from both sides of the equation.

$- 12 m = - 90 - 6$

Subtract $6$ from $- 90$ .

$- 12 m = - 96$

Step 3

Divide each term in $- 12 m = - 96$ by $- 12$ and simplify.

Divide each term in $- 12 m = - 96$ by $- 12$ .

$\frac{- 12 m}{- 12} = \frac{- 96}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 m}{- 12} = \frac{- 96}{- 12}$

Divide $m$ by $1$ .

$m = \frac{- 96}{- 12}$

Simplify the right side.

Divide $- 96$ by $- 12$ .

$m = 8$