Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 67: 84

$23n+7$

Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $ 8n+3(5n+2)+1 $, simplifies to \begin{array}{l}\require{cancel} 8n+3(5n)+3(2)+1 \\\\= 8n+15n+6+1 \\\\= (8n+15n)+(6+1) \\\\= 23n+7 .\end{array}