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3a\left(ac-3\right)-2c\left(ac-3\right)
Do the grouping 3a^{2}c-9a+6c-2ac^{2}=\left(3a^{2}c-9a\right)+\left(6c-2ac^{2}\right), and factor out 3a in the first and -2c in the second group.
\left(ac-3\right)\left(3a-2c\right)
Factor out common term ac-3 by using distributive property.