## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$-n$
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}