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3r\left(s+3\right)-2\left(s+3\right)
Do the grouping 3rs+9r-2s-6=\left(3rs+9r\right)+\left(-2s-6\right), and factor out 3r in the first and -2 in the second group.
\left(s+3\right)\left(3r-2\right)
Factor out common term s+3 by using distributive property.