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q\left(-7p+2q\right)-\left(-7p+2q\right)
Do the grouping 2q^{2}-7pq-2q+7p=\left(2q^{2}-7pq\right)+\left(-2q+7p\right), and factor out q in the first and -1 in the second group.
\left(-7p+2q\right)\left(q-1\right)
Factor out common term -7p+2q by using distributive property.