Solve for h 5h-9=-16+6h

$5 h - 9 = - 16 + 6 h$

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

Subtract $6 h$ from both sides of the equation.

$5 h - 9 - 6 h = - 16$

Subtract $6 h$ from $5 h$ .

$- h - 9 = - 16$

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

Add $9$ to both sides of the equation.

$- h = - 16 + 9$

Add $- 16$ and $9$ .

$- h = - 7$

Divide each term in $- h = - 7$ by $- 1$ and simplify.

Divide each term in $- h = - 7$ by $- 1$ .

$\frac{- h}{- 1} = \frac{- 7}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{h}{1} = \frac{- 7}{- 1}$

Divide $h$ by $1$ .

$h = \frac{- 7}{- 1}$

Simplify the right side.

Divide $- 7$ by $- 1$ .

$h = 7$