Questions: Solve the following formula for the indicated variable. P=2 l+2 w ; solve for w

Transcript text: Solve the following formula for the indicated variable. \[ P=2 l+2 w ; \text { solve for } w \]

Solution

Solution Steps

To solve the equation \( P = 2l + 2w \) for \( w \), we need to isolate \( w \) on one side of the equation. We can do this by subtracting \( 2l \) from both sides and then dividing by 2.

Step 1: Rearrange the Equation

Start with the given equation: \[ P = 2l + 2w \]

Step 2: Isolate the Term with \( w \)

Subtract \( 2l \) from both sides to isolate the term with \( w \): \[ P - 2l = 2w \]

Step 3: Solve for \( w \)

Divide both sides by 2 to solve for \( w \): \[ w = \frac{P}{2} - l \]

Final Answer

The solution for \( w \) is: \[ \boxed{w = \frac{P}{2} - l} \]

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