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