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a\left(7c+8d\right)+b\left(7c+8d\right)
Do the grouping 7ac+8bd+7bc+8ad=\left(7ac+8ad\right)+\left(7bc+8bd\right), and factor out a in the first and b in the second group.
\left(7c+8d\right)\left(a+b\right)
Factor out common term 7c+8d by using distributive property.