# How do you solve 4/3(7-n)=12?

Jan 16, 2017

See the entire solution process below:

#### Explanation:

First step, multiply each side of the equation by $\frac{\textcolor{red}{3}}{\textcolor{b l u e}{4}}$ to eliminate the coefficient to the term in parenthesis and to keep the equation balanced:

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{4}} \times \frac{4}{3} \left(7 - n\right) = \frac{\textcolor{red}{3}}{\textcolor{b l u e}{4}} \times 12$

$\frac{\cancel{\textcolor{red}{3}}}{\cancel{\textcolor{b l u e}{4}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{4}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} \left(7 - n\right) = \frac{36}{4}$

$7 - n = 9$

Next, subtract $\textcolor{red}{7}$ from each side of the equation to isolate the $n$ term while keeping the equation balanced:

$0 - n = 2$

$- n = 2$

Now, we can multiply each side of the equation by $\textcolor{red}{- 1}$ to solve for $n$ while keeping the equation balanced:

$\textcolor{red}{- 1} \times - n = \textcolor{red}{- 1} \times 2$

$n = - 2$