Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 67: 104

$-16a+27b-32c$

Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $ 4a-b-4(5a-7b+8c) $, is equivalent to \begin{array}{l}\require{cancel} 4a-b-4(5a)-4(-7b)-4(8c) \\\\= 4a-b-20a+28b-32c .\end{array} By combining like terms, then this simplifies to \begin{array}{l}\require{cancel} (4a-20a)+(-b+28b)-32c \\\\= -16a+27b-32c .\end{array}