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-\frac{15}{35}-\frac{14}{35}
Least common multiple of 7 and 5 is 35. Convert -\frac{3}{7} and \frac{2}{5} to fractions with denominator 35.
\frac{-15-14}{35}
Since -\frac{15}{35} and \frac{14}{35} have the same denominator, subtract them by subtracting their numerators.
-\frac{29}{35}
Subtract 14 from -15 to get -29.