Solve for r g=-5r+13

$g = - 5 r + 13$

Step 1

Rewrite the equation as $- 5 r + 13 = g$ .

$- 5 r + 13 = g$

Step 2

Subtract $13$ from both sides of the equation.

$- 5 r = g - 13$

Step 3

Divide each term in $- 5 r = g - 13$ by $- 5$ and simplify.

Divide each term in $- 5 r = g - 13$ by $- 5$ .

$\frac{- 5 r}{- 5} = \frac{g}{- 5} + \frac{- 13}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 r}{- 5} = \frac{g}{- 5} + \frac{- 13}{- 5}$

Divide $r$ by $1$ .

$r = \frac{g}{- 5} + \frac{- 13}{- 5}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$r = - \frac{g}{5} + \frac{- 13}{- 5}$

Dividing two negative values results in a positive value.

$r = - \frac{g}{5} + \frac{13}{5}$