Solve for h 82h+9(-16h+70)=-44h-36

$82 h + 9 (- 16 h + 70) = - 44 h - 36$

Simplify $82 h + 9 (- 16 h + 70)$ .

Simplify each term.

Apply the distributive property.

$82 h + 9 (- 16 h) + 9 \cdot 70 = - 44 h - 36$

Multiply $- 16$ by $9$ .

$82 h - 144 h + 9 \cdot 70 = - 44 h - 36$

Multiply $9$ by $70$ .

$82 h - 144 h + 630 = - 44 h - 36$

Subtract $144 h$ from $82 h$ .

$- 62 h + 630 = - 44 h - 36$

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

Add $44 h$ to both sides of the equation.

$- 62 h + 630 + 44 h = - 36$

Add $- 62 h$ and $44 h$ .

$- 18 h + 630 = - 36$

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

Subtract $630$ from both sides of the equation.

$- 18 h = - 36 - 630$

Subtract $630$ from $- 36$ .

$- 18 h = - 666$

Divide each term in $- 18 h = - 666$ by $- 18$ and simplify.

Divide each term in $- 18 h = - 666$ by $- 18$ .

$\frac{- 18 h}{- 18} = \frac{- 666}{- 18}$

Simplify the left side.

Cancel the common factor of $- 18$ .

Cancel the common factor.

$\frac{- 18 h}{- 18} = \frac{- 666}{- 18}$

Divide $h$ by $1$ .

$h = \frac{- 666}{- 18}$

Simplify the right side.

Divide $- 666$ by $- 18$ .

$h = 37$