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-\frac{21}{24}+\frac{20}{24}
Least common multiple of 8 and 6 is 24. Convert -\frac{7}{8} and \frac{5}{6} to fractions with denominator 24.
\frac{-21+20}{24}
Since -\frac{21}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.
-\frac{1}{24}
Add -21 and 20 to get -1.