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2q\left(4p-q\right)+3r\left(4p-q\right)
Do the grouping 8pq-3qr+12pr-2q^{2}=\left(8pq-2q^{2}\right)+\left(12pr-3qr\right), and factor out 2q in the first and 3r in the second group.
\left(4p-q\right)\left(2q+3r\right)
Factor out common term 4p-q by using distributive property.