, p equals 2 left parenthesis l plus w right parenthesis​, to solve for​ w

To solve the equation \( p = 2(l + w) \) for \( w \), follow these steps:

1. **Divide both sides by 2**: 
   \[
   \frac{p}{2} = l + w
   \]

2. **Isolate \( w \)**: 
   \[
   w = \frac{p}{2} - l
   \]

So, the solution for \( w \) is:
\[
w = \frac{p}{2} - l
\]

Would you like more details on this, or do you have any questions?

Here are some related questions:

1. How do you solve for \( l \) instead of \( w \) in the equation \( p = 2(l + w) \)?
2. What is the formula for \( l \) if \( w \) is known?
3. How can you use this formula to find \( w \) given specific values for \( p \) and \( l \)?
4. Can this formula be used to solve for \( w \) if \( p \) and \( l \) are expressions rather than constants?
5. How does this equation relate to the perimeter of a rectangle?

**Tip**: When solving equations, always aim to isolate the variable you're solving for by performing the same operation on both sides of the equation.

Learn how to solve the equation p = 2(l + w) for w with detailed steps and examples. This problem covers key algebraic concepts, including linear equations and variable isolation. Suitable for students in Grades 6-8.

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