Answer
$w=\frac{P}{2}-l$
Work Step by Step
The given formula is
$\Rightarrow P=2l+2w$
Subtract $2l$ from each side.
$\Rightarrow P-2l=2l+2w-2l$
Simplify.
$\Rightarrow P-2l=2w$
Divide each side by $2$.
$\frac{P-2l}{2}=\frac{2w}{2}$
Cancel common terms.
$\frac{P}{2}-l=w$
Hence, the solution is $w=\frac{P}{2}-l$.