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-\frac{14}{21}+\frac{9}{21}
Least common multiple of 3 and 7 is 21. Convert -\frac{2}{3} and \frac{3}{7} to fractions with denominator 21.
\frac{-14+9}{21}
Since -\frac{14}{21} and \frac{9}{21} have the same denominator, add them by adding their numerators.
-\frac{5}{21}
Add -14 and 9 to get -5.