Solve for h -4(5h+7)+16h=40

$- 4 (5 h + 7) + 16 h = 40$

Step 1

Simplify $- 4 (5 h + 7) + 16 h$ .

Simplify each term.

Apply the distributive property.

$- 4 (5 h) - 4 \cdot 7 + 16 h = 40$

Multiply $5$ by $- 4$ .

$- 20 h - 4 \cdot 7 + 16 h = 40$

Multiply $- 4$ by $7$ .

$- 20 h - 28 + 16 h = 40$

Add $- 20 h$ and $16 h$ .

$- 4 h - 28 = 40$

Step 2

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

Add $28$ to both sides of the equation.

$- 4 h = 40 + 28$

Add $40$ and $28$ .

$- 4 h = 68$

Step 3

Divide each term in $- 4 h = 68$ by $- 4$ and simplify.

Divide each term in $- 4 h = 68$ by $- 4$ .

$\frac{- 4 h}{- 4} = \frac{68}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 h}{- 4} = \frac{68}{- 4}$

Divide $h$ by $1$ .

$h = \frac{68}{- 4}$

Simplify the right side.

Divide $68$ by $- 4$ .

$h = - 17$