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