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8=\frac{-2\left(-2\right)}{3}+c
Express -\frac{2}{3}\left(-2\right) as a single fraction.
8=\frac{4}{3}+c
Multiply -2 and -2 to get 4.
\frac{4}{3}+c=8
Swap sides so that all variable terms are on the left hand side.
c=8-\frac{4}{3}
Subtract \frac{4}{3} from both sides.
c=\frac{24}{3}-\frac{4}{3}
Convert 8 to fraction \frac{24}{3}.
c=\frac{24-4}{3}
Since \frac{24}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.
c=\frac{20}{3}
Subtract 4 from 24 to get 20.