# How do you solve  r + 8.2 + 0.4r = -8.6?

Jan 8, 2016

$r = - 12$

#### Explanation:

To simplify I would suggest multiplying everything by $10$ to clear the decimal fractions.
$\textcolor{w h i t e}{\text{XXX}} 10 r + 82 + 4 r = - 86$

Subtract $82$ from both sides, isolating the $r$ factors on one side and the constant s on the other.
$\textcolor{w h i t e}{\text{XXX}} 10 r + 4 r = - 86 - 82$

Combine terms on both sides.
$\textcolor{w h i t e}{\text{XXX}} 14 r = - 168$

Divide both sides by $14$
$\textcolor{w h i t e}{\text{XXX}} r = - 12$