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2m\left(5a-3b\right)+3n\left(5a-3b\right)
Do the grouping 10am-6bm+15an-9bn=\left(10am-6bm\right)+\left(15an-9bn\right), and factor out 2m in the first and 3n in the second group.
\left(5a-3b\right)\left(2m+3n\right)
Factor out common term 5a-3b by using distributive property.