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a\left(b+11\right)-5\left(b+11\right)
Do the grouping ab+11a-5b-55=\left(ab+11a\right)+\left(-5b-55\right), and factor out a in the first and -5 in the second group.
\left(b+11\right)\left(a-5\right)
Factor out common term b+11 by using distributive property.