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2m\left(-m+4n\right)+3L\left(-m+4n\right)
Do the grouping 8mn-2m^{2}+12nL-3mL=\left(8mn-2m^{2}\right)+\left(12nL-3mL\right), and factor out 2m in the first and 3L in the second group.
\left(-m+4n\right)\left(2m+3L\right)
Factor out common term -m+4n by using distributive property.