https://file.aiquickdraw.com/mathbot/file/17258967064443eemh1m8.jpg

Let's solve the given equation for \( w \).

The equation provided is:

\[
P = 2l + 2w
\]

### Step 1: Isolate \( w \)
Start by subtracting \( 2l \) from both sides:

\[
P - 2l = 2w
\]

### Step 2: Solve for \( w \)
Now, divide both sides by 2 to isolate \( w \):

\[
w = \frac{P - 2l}{2}
\]

Thus, the solution is:

\[
w = \frac{P}{2} - l
\]

This matches the third option in your image:

\[
w = \frac{P}{2} - l
\]

Would you like further clarification or details? 

Here are some related questions you could consider:
1. How do you solve similar linear equations?
2. What happens if the equation involves higher powers of \( w \)?
3. Can you solve for \( l \) instead of \( w \)?
4. How do different values of \( l \) and \( P \) affect the value of \( w \)?
5. How would this equation change if an additional constant were added?

**Tip**: When solving for a variable, always work systematically by isolating the variable step by step.

Learn how to solve the equation P = 2l + 2w for w with a detailed step-by-step explanation. This algebraic problem demonstrates key concepts in solving linear equations and is suitable for students in Grades 6-8.

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