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k\left(-m+k\right)-10\left(-m+k\right)
Do the grouping k^{2}-km-10k+10m=\left(k^{2}-km\right)+\left(-10k+10m\right), and factor out k in the first and -10 in the second group.
\left(-m+k\right)\left(k-10\right)
Factor out common term -m+k by using distributive property.