Answer
$c=-\frac{4}{3}$
Work Step by Step
We are given the equation $\frac{2}{3}-\frac{8}{9}=\frac{c}{6}$. To solve, we must first combine like terms on the left side.
$\frac{2}{3}-\frac{8}{9}=\frac{2\times3}{3\times3}-\frac{8}{9}=\frac{6}{9}-\frac{8}{9}=\frac{6-8}{9}=-\frac{2}{9}=\frac{c}{6}$
Multiply both sides by 6.
$-\frac{2}{9}\times6=-\frac{12}{9}=-\frac{4}{3}=(\frac{c}{6}\times6)=c$
$c=-\frac{4}{3}$
