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-3x\left(x+6\right)+v\left(x+6\right)
Do the grouping 6v-3x^{2}-18x+xv=\left(-3x^{2}-18x\right)+\left(xv+6v\right), and factor out -3x in the first and v in the second group.
\left(x+6\right)\left(-3x+v\right)
Factor out common term x+6 by using distributive property.