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-\frac{21}{24}-\frac{4}{24}
Least common multiple of 8 and 6 is 24. Convert -\frac{7}{8} and \frac{1}{6} to fractions with denominator 24.
\frac{-21-4}{24}
Since -\frac{21}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.
-\frac{25}{24}
Subtract 4 from -21 to get -25.