Solve for r q-r=r

$q - r = r$

Step 1

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

Subtract $r$ from both sides of the equation.

$q - r - r = 0$

Subtract $r$ from $- r$ .

$q - 2 r = 0$

Step 2

Subtract $q$ from both sides of the equation.

$- 2 r = - q$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $r$ by $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

$r = \frac{q}{2}$