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3\left(-mn-3m-6n-18\right)
Factor out 3.
m\left(-n-3\right)+6\left(-n-3\right)
Consider -mn-3m-6n-18. Do the grouping -mn-3m-6n-18=\left(-mn-3m\right)+\left(-6n-18\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.
3\left(-n-3\right)\left(m+6\right)
Rewrite the complete factored expression.