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