Solve for h 4h-9=-3h-2-7

$4 h - 9 = - 3 h - 2 - 7$

Step 1

Subtract $7$ from $- 2$ .

$4 h - 9 = - 3 h - 9$

Step 2

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

Add $3 h$ to both sides of the equation.

$4 h - 9 + 3 h = - 9$

Add $4 h$ and $3 h$ .

$7 h - 9 = - 9$

Step 3

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

Add $9$ to both sides of the equation.

$7 h = - 9 + 9$

Add $- 9$ and $9$ .

$7 h = 0$

Step 4

Divide each term in $7 h = 0$ by $7$ and simplify.

Divide each term in $7 h = 0$ by $7$ .

$\frac{7 h}{7} = \frac{0}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 h}{7} = \frac{0}{7}$

Divide $h$ by $1$ .

$h = \frac{0}{7}$

Simplify the right side.

Divide $0$ by $7$ .

$h = 0$