## Intermediate Algebra (12th Edition)

$z=-65$
Use the Distributive Property and the properties of equality to solve the given equation, $-5(8-2z)+4(7-z)=7(8+z)-3 .$ Using $a(b+c)=ab+ac$ or the Distributive Property, the expression above is equivalent to \begin{array}{l}\require{cancel} -40+10z+28-4z=56+7z-3 .\end{array} Using the properties of equality, the solution to the equation above is \begin{array}{l}\require{cancel} 10z-4z-7z=56-3+40-28 \\\\ -z=65 \\\\ z=-65 .\end{array}