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a\left(3a+2b\right)-4c\left(3a+2b\right)
Do the grouping 3a^{2}+2ab-12ac-8bc=\left(3a^{2}+2ab\right)+\left(-12ac-8bc\right), and factor out a in the first and -4c in the second group.
\left(3a+2b\right)\left(a-4c\right)
Factor out common term 3a+2b by using distributive property.