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2h\left(m-2n\right)+k\left(m-2n\right)
Do the grouping 2hm-4hn+km-2kn=\left(2hm-4hn\right)+\left(km-2kn\right), and factor out 2h in the first and k in the second group.
\left(m-2n\right)\left(2h+k\right)
Factor out common term m-2n by using distributive property.