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3a\left(b+4\right)-\left(b+4\right)
Do the grouping 3ab+12a-b-4=\left(3ab+12a\right)+\left(-b-4\right), and factor out 3a in the first and -1 in the second group.
\left(b+4\right)\left(3a-1\right)
Factor out common term b+4 by using distributive property.