Solve for r g(r)=-1-7r

$g (r) = - 1 - 7 r$

Add $7 r$ to both sides of the equation.

$g r + 7 r = - 1$

Factor $r$ out of $g r + 7 r$ .

Factor $r$ out of $g r$ .

$r g + 7 r = - 1$

Factor $r$ out of $7 r$ .

$r g + r \cdot 7 = - 1$

Factor $r$ out of $r g + r \cdot 7$ .

$r (g + 7) = - 1$

Divide each term in $r (g + 7) = - 1$ by $g + 7$ and simplify.

Divide each term in $r (g + 7) = - 1$ by $g + 7$ .

$\frac{r (g + 7)}{g + 7} = \frac{- 1}{g + 7}$

Simplify the left side.

Cancel the common factor of $g + 7$ .

Cancel the common factor.

$\frac{r (g + 7)}{g + 7} = \frac{- 1}{g + 7}$

Divide $r$ by $1$ .

$r = \frac{- 1}{g + 7}$

Simplify the right side.

Move the negative in front of the fraction.

$r = - \frac{1}{g + 7}$