# How do you solve 12= - r - 5r?

Sep 29, 2017

$r = - 2$

#### Explanation:

First we begin by simplifying the right side. Notice how $- r$ and $- 5 r$ are actually like terms with $- r$ having a $- 1$ as a coefficient. And so, we can combine these two terms:

$12 = - \textcolor{b l u e}{1} r - 5 r$

$12 = - 6 r$

Now we can solve for $r$ by dividing both sides by $- 6$

$\frac{12}{\textcolor{red}{- 6}} = \frac{\cancel{- 6}}{\cancel{\textcolor{red}{- 6}}} r$

$- 2 = r$

Sep 29, 2017

$r = - 2$

#### Explanation:

$12 = - r - 5 r$
$12 = - 6 r$
Flip the equation
$- 6 r = 12$
Divide both sides by $- 6$
$\frac{- 6 r}{- 6} = \frac{12}{- 6}$
$r = - 2$

Sep 29, 2017

$r = - 2$

#### Explanation:

$\left(- r - 5 r\right) = 12$
$- \left(r + 5 r\right) = 12$
$\left(r + 5 r\right) = - 12$
$6 r = - 12$
$r = - \frac{12}{6}$
$r = - 2$