Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises - Page 30: 66

$8$

Using order of operations and the concepts of the absolute value of a number, the given expression, $ -4|2-4|+8\cdot2 ,$ simplifies to \begin{array}{l}\require{cancel} -4|-2|+16 \\\\= -4(2)+16 \\\\= -8+16 \\\\= 8 .\end{array}