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-m\left(2m-p\right)-n\left(2m-p\right)
Do the grouping -2m^{2}+mp-2mn+pn=\left(-2m^{2}+mp\right)+\left(-2mn+pn\right), and factor out -m in the first and -n in the second group.
\left(2m-p\right)\left(-m-n\right)
Factor out common term 2m-p by using distributive property.