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5b\left(a-2\right)-7\left(a-2\right)
Do the grouping 5ab-10b-7a+14=\left(5ab-10b\right)+\left(-7a+14\right), and factor out 5b in the first and -7 in the second group.
\left(a-2\right)\left(5b-7\right)
Factor out common term a-2 by using distributive property.