# How do you solve -2.6q-33.7=84.1?

May 30, 2017

See a solution process below:

#### Explanation:

Step 1) Add $\textcolor{red}{33.7}$ to each side of the equation to isolate the $q$ term while keeping the equation balanced:

$- 2.6 q - 33.7 + \textcolor{red}{33.7} = 84.1 + \textcolor{red}{33.7}$

$- 2.6 q - 0 = 117.8$

$- 2.6 q = 117.8$

Step 2) Divide each side of the equation by $\textcolor{red}{- 2.6}$ to solve for $q$ while keeping the equation balanced:

$\frac{- 2.6 q}{\textcolor{red}{- 2.6}} = \frac{117.8}{\textcolor{red}{- 2.6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2.6}}} q}{\cancel{\textcolor{red}{- 2.6}}} = - 45.307$ rounded to the nearest thousandth.

$q = - 45.307$ rounded to the nearest thousandth.