Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5 - Page 34: 58

$-a+58$

Using the Distributive Property and then combining like terms, the given expression, $ -4(a+2)+6(a+8)-3(a-6) ,$ simplifies to \begin{array}{l}\require{cancel} -4a-8+6a+48-3a+18 \\\\= (-4a+6a-3a)+(-8+48+18) \\\\= -a+58 .\end{array}