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\frac{-3\left(12-7\right)}{12-3}
Cancel out 12\left(12-6\right)\left(12-5\right)\left(12-4\right)\left(12-2\right)\left(12-1\right) in both numerator and denominator.
\frac{-3\times 5}{12-3}
Subtract 7 from 12 to get 5.
\frac{-15}{12-3}
Multiply -3 and 5 to get -15.
\frac{-15}{9}
Subtract 3 from 12 to get 9.
-\frac{5}{3}
Reduce the fraction \frac{-15}{9} to lowest terms by extracting and canceling out 3.