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c\left(a-3b\right)-6\left(a-3b\right)
Do the grouping ac-3bc+18b-6a=\left(ac-3bc\right)+\left(18b-6a\right), and factor out c in the first and -6 in the second group.
\left(a-3b\right)\left(c-6\right)
Factor out common term a-3b by using distributive property.