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2t\left(3s+1\right)-3\left(3s+1\right)
Do the grouping 6st+2t-9s-3=\left(6st+2t\right)+\left(-9s-3\right), and factor out 2t in the first and -3 in the second group.
\left(3s+1\right)\left(2t-3\right)
Factor out common term 3s+1 by using distributive property.