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5=\frac{-2\left(-2\right)}{7}+c
Express -\frac{2}{7}\left(-2\right) as a single fraction.
5=\frac{4}{7}+c
Multiply -2 and -2 to get 4.
\frac{4}{7}+c=5
Swap sides so that all variable terms are on the left hand side.
c=5-\frac{4}{7}
Subtract \frac{4}{7} from both sides.
c=\frac{35}{7}-\frac{4}{7}
Convert 5 to fraction \frac{35}{7}.
c=\frac{35-4}{7}
Since \frac{35}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.
c=\frac{31}{7}
Subtract 4 from 35 to get 31.