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3y\left(x+2a\right)-2z\left(x+2a\right)
Do the grouping 3xy+6ay-4az-2xz=\left(3xy+6ay\right)+\left(-4az-2xz\right), and factor out 3y in the first and -2z in the second group.
\left(x+2a\right)\left(3y-2z\right)
Factor out common term x+2a by using distributive property.