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3p\left(r+2s\right)-q\left(r+2s\right)
Do the grouping 3pr-2qs-qr+6ps=\left(3pr+6ps\right)+\left(-qr-2qs\right), and factor out 3p in the first and -q in the second group.
\left(r+2s\right)\left(3p-q\right)
Factor out common term r+2s by using distributive property.