# Question #06657

Feb 22, 2017

See the entire process below:

#### Explanation:

Step 1) Subtract $\textcolor{red}{3}$ from each side of the equation to isolate the $m$ term while keeping the equation balanced:

$- \frac{3}{4} m + 3 - \textcolor{red}{3} = 8 - \textcolor{red}{3}$

$- \frac{3}{4} m + 0 = 5$

$- \frac{3}{4} m = 5$

Step 2) Multiply each side of the equation by $\frac{\textcolor{red}{- 4}}{\textcolor{b l u e}{3}}$ to solve for $m$ while keeping the equation balanced:

$\frac{\textcolor{red}{- 4}}{\textcolor{b l u e}{3}} \times - \frac{3}{4} m = \frac{\textcolor{red}{- 4}}{\textcolor{b l u e}{3}} \times 5$

$\frac{\cancel{\textcolor{red}{- 4}}}{\cancel{\textcolor{b l u e}{3}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 3}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} m = - \frac{20}{3}$

$m = - \frac{20}{3}$