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2\left(-3mn+2m+9n-6\right)
Factor out 2.
m\left(-3n+2\right)-3\left(-3n+2\right)
Consider -3mn+2m+9n-6. Do the grouping -3mn+2m+9n-6=\left(-3mn+2m\right)+\left(9n-6\right), and factor out m in the first and -3 in the second group.
\left(-3n+2\right)\left(m-3\right)
Factor out common term -3n+2 by using distributive property.
2\left(-3n+2\right)\left(m-3\right)
Rewrite the complete factored expression.