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k+\frac{1}{3}=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.
k=\frac{1}{2}-\frac{1}{3}
Subtract \frac{1}{3} from both sides.
k=\frac{3}{6}-\frac{2}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.
k=\frac{3-2}{6}
Since \frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.
k=\frac{1}{6}
Subtract 2 from 3 to get 1.