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6\left(a-4\right)+b\left(a-4\right)
Do the grouping 6a-24+ab-4b=\left(6a-24\right)+\left(ab-4b\right), and factor out 6 in the first and b in the second group.
\left(a-4\right)\left(6+b\right)
Factor out common term a-4 by using distributive property.