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-\frac{3}{24}-\frac{4}{24}
Least common multiple of 8 and 6 is 24. Convert -\frac{1}{8} and \frac{1}{6} to fractions with denominator 24.
\frac{-3-4}{24}
Since -\frac{3}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.
-\frac{7}{24}
Subtract 4 from -3 to get -7.