Solve for h 16+18h+14h=-14-7(-6h+20)

$16 + 18 h + 14 h = - 14 - 7 (- 6 h + 20)$

Add $18 h$ and $14 h$ .

$16 + 32 h = - 14 - 7 (- 6 h + 20)$

Simplify $- 14 - 7 (- 6 h + 20)$ .

Simplify each term.

Apply the distributive property.

$16 + 32 h = - 14 - 7 (- 6 h) - 7 \cdot 20$

Multiply $- 6$ by $- 7$ .

$16 + 32 h = - 14 + 42 h - 7 \cdot 20$

Multiply $- 7$ by $20$ .

$16 + 32 h = - 14 + 42 h - 140$

Subtract $140$ from $- 14$ .

$16 + 32 h = 42 h - 154$

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

Subtract $42 h$ from both sides of the equation.

$16 + 32 h - 42 h = - 154$

Subtract $42 h$ from $32 h$ .

$16 - 10 h = - 154$

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

Subtract $16$ from both sides of the equation.

$- 10 h = - 154 - 16$

Subtract $16$ from $- 154$ .

$- 10 h = - 170$

Divide each term in $- 10 h = - 170$ by $- 10$ and simplify.

Divide each term in $- 10 h = - 170$ by $- 10$ .

$\frac{- 10 h}{- 10} = \frac{- 170}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 h}{- 10} = \frac{- 170}{- 10}$

Divide $h$ by $1$ .

$h = \frac{- 170}{- 10}$

Simplify the right side.

Divide $- 170$ by $- 10$ .

$h = 17$