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\frac{2\left(m-2n\right)}{8\left(-m+2n\right)}
Factor the expressions that are not already factored.
\frac{-2\left(-m+2n\right)}{8\left(-m+2n\right)}
Extract the negative sign in m-2n.
\frac{-1}{4}
Cancel out 2\left(-m+2n\right) in both numerator and denominator.
-\frac{1}{4}
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.