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\frac{4\left(k-5\right)}{7\left(-k+5\right)}
Factor the expressions that are not already factored.
\frac{-4\left(-k+5\right)}{7\left(-k+5\right)}
Extract the negative sign in -5+k.
\frac{-4}{7}
Cancel out -k+5 in both numerator and denominator.
-\frac{4}{7}
Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.