## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$w=\dfrac{P-2l}{2}$
$\bf{\text{Solution Outline:}}$ 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}