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3\left(m-2n+12nt-6mt\right)
Factor out 3.
m-2n-6t\left(m-2n\right)
Consider m-2n+12nt-6mt. Do the grouping m-2n+12nt-6mt=\left(m-2n\right)+\left(12nt-6mt\right), and factor out -6t in 12nt-6mt.
\left(m-2n\right)\left(1-6t\right)
Factor out common term m-2n by using distributive property.
3\left(-6t+1\right)\left(m-2n\right)
Rewrite the complete factored expression.