Solve for q 11q-4=3r-6

$11 q - 4 = 3 r - 6$

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

Add $4$ to both sides of the equation.

$11 q = 3 r - 6 + 4$

Add $- 6$ and $4$ .

$11 q = 3 r - 2$

Divide each term in $11 q = 3 r - 2$ by $11$ and simplify.

Divide each term in $11 q = 3 r - 2$ by $11$ .

$\frac{11 q}{11} = \frac{3 r}{11} + \frac{- 2}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 q}{11} = \frac{3 r}{11} + \frac{- 2}{11}$

Divide $q$ by $1$ .

$q = \frac{3 r}{11} + \frac{- 2}{11}$

Simplify the right side.

Move the negative in front of the fraction.

$q = \frac{3 r}{11} - \frac{2}{11}$