Answer
$w=\dfrac{P-2l}{2}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
P=2l+2w
$ for $
w
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
P=2l+2w
\\\\
P-2l=2w
\\\\
\dfrac{P-2l}{2}=\dfrac{2w}{2}
\\\\
\dfrac{P-2l}{2}=w
\\\\
w=\dfrac{P-2l}{2}
.\end{array}
