# How do you solve -6=2/3z?

##### 1 Answer
May 3, 2017

See the solution process below:

#### Explanation:

Multiply each side of the equation by $\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}}$ to solve for $z$ while keeping the equation balanced. $\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}}$ is the inverse of the $z$ coefficient:

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \cdot - 6 = \frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \cdot \frac{2}{3} z$

$- \frac{18}{2} = \frac{\cancel{\textcolor{red}{3}}}{\cancel{\textcolor{b l u e}{2}}} \cdot \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{2}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} z$

$- 9 = z$

$z = - 9$