Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises - Page 30: 65

$-2$

Using order of operations and the concepts of the absolute value of a number, the given expression, $ 6|4-5|-24\div3 ,$ simplifies to \begin{array}{l}\require{cancel} 6|-1|-8 \\\\= 6(1)-8 \\\\= 6-8 \\\\= -2 .\end{array}