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5a\left(3c-4d\right)+b\left(3c-4d\right)
Do the grouping 15ac-20ad+3bc-4bd=\left(15ac-20ad\right)+\left(3bc-4bd\right), and factor out 5a in the first and b in the second group.
\left(3c-4d\right)\left(5a+b\right)
Factor out common term 3c-4d by using distributive property.