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\frac{3\left(a-b\right)}{9ab\left(-a+b\right)}
Factor the expressions that are not already factored.
\frac{-3\left(-a+b\right)}{9ab\left(-a+b\right)}
Extract the negative sign in a-b.
\frac{-1}{3ab}
Cancel out 3\left(-a+b\right) in both numerator and denominator.
\frac{3\left(a-b\right)}{9ab\left(-a+b\right)}
Factor the expressions that are not already factored.
\frac{-3\left(-a+b\right)}{9ab\left(-a+b\right)}
Extract the negative sign in a-b.
\frac{-1}{3ab}
Cancel out 3\left(-a+b\right) in both numerator and denominator.