Answer
$$ l=\frac{P}{2}-w.$$
Work Step by Step
We are given:
$P=2(l+w)$
To find $l$, we divide both sides by $2$ as follows:
$$\frac{P}{2}=\frac{2(l+w)}{2}\Longrightarrow \frac{P}{2}=l+w\Longrightarrow l=\frac{P}{2}-w.$$
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