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2\left(t+5\right)-s\left(t+5\right)
Do the grouping 10+2t-5s-st=\left(10+2t\right)+\left(-5s-st\right), and factor out 2 in the first and -s in the second group.
\left(t+5\right)\left(2-s\right)
Factor out common term t+5 by using distributive property.