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10p\left(3q+4\right)-7\left(3q+4\right)
Do the grouping 30pq+40p-21q-28=\left(30pq+40p\right)+\left(-21q-28\right), and factor out 10p in the first and -7 in the second group.
\left(3q+4\right)\left(10p-7\right)
Factor out common term 3q+4 by using distributive property.