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a\left(c+4\right)-2\left(c+4\right)
Do the grouping ac+4a-2c-8=\left(ac+4a\right)+\left(-2c-8\right), and factor out a in the first and -2 in the second group.
\left(c+4\right)\left(a-2\right)
Factor out common term c+4 by using distributive property.