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3a\left(c-2d\right)+b\left(c-2d\right)
Do the grouping 3ac-2bd-6ad+bc=\left(3ac-6ad\right)+\left(bc-2bd\right), and factor out 3a in the first and b in the second group.
\left(c-2d\right)\left(3a+b\right)
Factor out common term c-2d by using distributive property.