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m\left(n+3\right)+9\left(n+3\right)
Do the grouping 3m+mn+27+9n=\left(3m+mn\right)+\left(27+9n\right), and factor out m in the first and 9 in the second group.
\left(n+3\right)\left(m+9\right)
Factor out common term n+3 by using distributive property.