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u\left(v-2\right)-7\left(v-2\right)
Do the grouping vu-2u-7v+14=\left(vu-2u\right)+\left(-7v+14\right), and factor out u in the first and -7 in the second group.
\left(v-2\right)\left(u-7\right)
Factor out common term v-2 by using distributive property.