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-m\left(3n-k\right)+2k\left(3n-k\right)
Do the grouping 6kn+km-2k^{2}-3mn=\left(-3mn+km\right)+\left(6kn-2k^{2}\right), and factor out -m in the first and 2k in the second group.
\left(3n-k\right)\left(-m+2k\right)
Factor out common term 3n-k by using distributive property.