Answer
$10m-12n$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $
4m-9n+3(2m-n)
$, simplifies to
\begin{array}{l}\require{cancel}
4m-9n+3(2m)+3(-n)
\\\\=
4m-9n+6m-3n
\\\\=
(4m+6m)+(-9n-3n)
\\\\=
10m-12n
.\end{array}