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a\left(b+2\right)+7\left(b+2\right)
Do the grouping ab+2a+7b+14=\left(ab+2a\right)+\left(7b+14\right), and factor out a in the first and 7 in the second group.
\left(b+2\right)\left(a+7\right)
Factor out common term b+2 by using distributive property.