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-\frac{9}{14}-\frac{12}{14}
Least common multiple of 14 and 7 is 14. Convert -\frac{9}{14} and \frac{6}{7} to fractions with denominator 14.
\frac{-9-12}{14}
Since -\frac{9}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.
\frac{-21}{14}
Subtract 12 from -9 to get -21.
-\frac{3}{2}
Reduce the fraction \frac{-21}{14} to lowest terms by extracting and canceling out 7.