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