# How do you solve -2r-6+r=3?

May 6, 2018

$r = - 9$

#### Explanation:

$\text{collect terms in r on left side of equation and numeric}$
$\text{values on the right side}$

$\Rightarrow - r - 6 = 3$

$\text{add 6 to both sides}$

$- r \cancel{- 6} \cancel{+ 6} = 3 + 6$

$\Rightarrow - r = 9$

$\text{multiply both sides by } - 1$

$\Rightarrow r = - 9$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

$\left(- 2 \times - 9\right) - 6 - 9 = 18 - 15 = 3$

$\Rightarrow r = - 9 \text{ is the solution}$