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4m\left(3n+2\right)+3n+2
Do the grouping 12mn+8m+3n+2=\left(12mn+8m\right)+\left(3n+2\right), and factor out 4m in 12mn+8m.
\left(3n+2\right)\left(4m+1\right)
Factor out common term 3n+2 by using distributive property.