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-\frac{1}{3}+\frac{3}{5}=I
The opposite of -\frac{3}{5} is \frac{3}{5}.
-\frac{5}{15}+\frac{9}{15}=I
Least common multiple of 3 and 5 is 15. Convert -\frac{1}{3} and \frac{3}{5} to fractions with denominator 15.
\frac{-5+9}{15}=I
Since -\frac{5}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.
\frac{4}{15}=I
Add -5 and 9 to get 4.
I=\frac{4}{15}
Swap sides so that all variable terms are on the left hand side.