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\frac{2}{3}=1+c
Divide 3 by 3 to get 1.
1+c=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
c=\frac{2}{3}-1
Subtract 1 from both sides.
c=\frac{2}{3}-\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
c=\frac{2-3}{3}
Since \frac{2}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
c=-\frac{1}{3}
Subtract 3 from 2 to get -1.