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