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6r\left(5r-1\right)+d\left(5r-1\right)
Do the grouping 30r^{2}-6r+5rd-d=\left(30r^{2}-6r\right)+\left(5rd-d\right), and factor out 6r in the first and d in the second group.
\left(5r-1\right)\left(6r+d\right)
Factor out common term 5r-1 by using distributive property.