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7x\left(z-3\right)-4\left(z-3\right)
Do the grouping 7zx-21x+12-4z=\left(7zx-21x\right)+\left(12-4z\right), and factor out 7x in the first and -4 in the second group.
\left(z-3\right)\left(7x-4\right)
Factor out common term z-3 by using distributive property.