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u\left(w+3\right)-7\left(w+3\right)
Do the grouping uw+3u-7w-21=\left(uw+3u\right)+\left(-7w-21\right), and factor out u in the first and -7 in the second group.
\left(w+3\right)\left(u-7\right)
Factor out common term w+3 by using distributive property.