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