Chapter R - Section R.4 - Properties of Real Numbers - R.4 Exercises - Page 38: 40

$4k-57$

Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $ -4+4(4k-3)-6(2k+8)+7 ,$ simplifies to \begin{array}{l}\require{cancel} -4+16k-12-12k-48+7 \\\\= (16k-12k)+(-4-12-48+7) \\\\= 4k-57 .\end{array}