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7v\left(w-1\right)+9\left(w-1\right)
Do the grouping 7vw-7v+9w-9=\left(7vw-7v\right)+\left(9w-9\right), and factor out 7v in the first and 9 in the second group.
\left(w-1\right)\left(7v+9\right)
Factor out common term w-1 by using distributive property.