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z\left(2x-5\right)-3\left(2x-5\right)
Do the grouping 2xz-5z-6x+15=\left(2xz-5z\right)+\left(-6x+15\right), and factor out z in the first and -3 in the second group.
\left(2x-5\right)\left(z-3\right)
Factor out common term 2x-5 by using distributive property.