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