Answer
$-n$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $
8n^2-3n+2(n-4n^2)
$, simplifies to
\begin{array}{l}\require{cancel}
8n^2-3n+2(n)+2(-4n^2)
\\\\=
8n^2-3n+2n-8n^2
\\\\=
(8n^2-8n^2)+(-3n+2n)
\\\\=
-n
.\end{array}