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2r\left(5r-1\right)+d\left(5r-1\right)
Do the grouping 10r^{2}-2r+5rd-d=\left(10r^{2}-2r\right)+\left(5rd-d\right), and factor out 2r in the first and d in the second group.
\left(5r-1\right)\left(2r+d\right)
Factor out common term 5r-1 by using distributive property.