Solve for q -8=32-5q

$- 8 = 32 - 5 q$

Rewrite the equation as $32 - 5 q = - 8$ .

$32 - 5 q = - 8$

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

Subtract $32$ from both sides of the equation.

$- 5 q = - 8 - 32$

Subtract $32$ from $- 8$ .

$- 5 q = - 40$

Divide each term in $- 5 q = - 40$ by $- 5$ and simplify.

Divide each term in $- 5 q = - 40$ by $- 5$ .

$\frac{- 5 q}{- 5} = \frac{- 40}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 q}{- 5} = \frac{- 40}{- 5}$

Divide $q$ by $1$ .

$q = \frac{- 40}{- 5}$

Simplify the right side.

Divide $- 40$ by $- 5$ .

$q = 8$