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3\left(-x^{2}yz+5xz^{2}-3xy^{2}z\right)
Factor out 3.
xz\left(-xy+5z-3y^{2}\right)
Consider -x^{2}yz+5xz^{2}-3xy^{2}z. Factor out xz.
3xz\left(-xy+5z-3y^{2}\right)
Rewrite the complete factored expression.