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-\frac{15}{42}+\frac{10}{42}
Least common multiple of 14 and 21 is 42. Convert -\frac{5}{14} and \frac{5}{21} to fractions with denominator 42.
\frac{-15+10}{42}
Since -\frac{15}{42} and \frac{10}{42} have the same denominator, add them by adding their numerators.
-\frac{5}{42}
Add -15 and 10 to get -5.