Answer
$z=11$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
5z+2=57
$, is
\begin{array}{l}
5z+2-2=57-2
\\\\
5z=55
\\\\
\dfrac{5z}{5}=\dfrac{55}{5}
\\\\
z=11
.\end{array}
Checking:
\begin{array}{l}
5(11)+2=57
\\\\
55+2=57
\\\\
57=57
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
z=11
$.
