To solve the equation $P = 2l + 2w$ for $l$, follow these steps:

1. Start with the given equation: $P = 2l + 2w$

2. Subtract $2w$ from both sides to isolate the terms involving $l$: $P - 2w = 2l$

3. Divide both sides by 2 to solve for $l$: $l = \frac{P - 2w}{2}$

So, the equation solved for $l$ is: $l = \frac{P - 2w}{2}$

Would you like more details or have any questions?

Here are 5 related questions to further explore this topic:

1. If $P = 30$ and $w = 5$, what is the value of $l$?
2. How would this formula change if the perimeter were given in terms of a different shape, like a triangle?
3. What is the geometric interpretation of this formula?
4. How would you rearrange the formula to solve for $w$ instead?
5. How can this equation be applied in a real-world context, such as fencing a rectangular garden?

Tip: When solving for a variable, your goal is to isolate that variable on one side of the equation using inverse operations.