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m\left(-n+3\right)+6\left(-n+3\right)
Do the grouping 3m-mn+18-6n=\left(3m-mn\right)+\left(18-6n\right), and factor out m in the first and 6 in the second group.
\left(-n+3\right)\left(m+6\right)
Factor out common term -n+3 by using distributive property.