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4q\left(p+6r-2\right)+r\left(p+6r-2\right)
Do the grouping 4pq-2r+24qr+pr-8q+6r^{2}=\left(4pq+24qr-8q\right)+\left(pr+6r^{2}-2r\right), and factor out 4q in the first and r in the second group.
\left(p+6r-2\right)\left(4q+r\right)
Factor out common term p+6r-2 by using distributive property.