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\frac{1}{3}=a-2
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
a-2=\frac{1}{3}
Swap sides so that all variable terms are on the left hand side.
a=\frac{1}{3}+2
Add 2 to both sides.
a=\frac{1}{3}+\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
a=\frac{1+6}{3}
Since \frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
a=\frac{7}{3}
Add 1 and 6 to get 7.