#### Answer

$z=-65$

#### Work Step by Step

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}