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5m\left(2n-1\right)+9\left(2n-1\right)
Do the grouping 10mn-5m+18n-9=\left(10mn-5m\right)+\left(18n-9\right), and factor out 5m in the first and 9 in the second group.
\left(2n-1\right)\left(5m+9\right)
Factor out common term 2n-1 by using distributive property.