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Verified Answer :

P = 2w + 2l....subtract 2l from both sides
P - 2l = 2w....divide both sides by 2
(P - 2l)/2 = w

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

\(P=2w+2I\)

We need to solve the above equation for w.

Subtract 2I from both sides.

\(P-2I=2w+2I-2I\)

\(P-2I=2w\)

Divide both sides by 2.

\(\frac{P-2I}{2}=\frac{2w}{2}\)

\(\frac{P-2I}{2}=w\)

The formula for w is \(w=\frac{P-2I}{2}\).

Therefore the correct option is D.