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4p\left(2q-u\right)+3t\left(2q-u\right)
Do the grouping 8pq-4pu+6tq-3tu=\left(8pq-4pu\right)+\left(6tq-3tu\right), and factor out 4p in the first and 3t in the second group.
\left(2q-u\right)\left(4p+3t\right)
Factor out common term 2q-u by using distributive property.