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