Solve for q 7-8q=q+34

$7 - 8 q = q + 34$

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

Subtract $q$ from both sides of the equation.

$7 - 8 q - q = 34$

Subtract $q$ from $- 8 q$ .

$7 - 9 q = 34$

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

Subtract $7$ from both sides of the equation.

$- 9 q = 34 - 7$

Subtract $7$ from $34$ .

$- 9 q = 27$

Divide each term in $- 9 q = 27$ by $- 9$ and simplify.

Divide each term in $- 9 q = 27$ by $- 9$ .

$\frac{- 9 q}{- 9} = \frac{27}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 q}{- 9} = \frac{27}{- 9}$

Divide $q$ by $1$ .

$q = \frac{27}{- 9}$

Simplify the right side.

Divide $27$ by $- 9$ .

$q = - 3$