To solve for $p$ in the equation $p(r+s) = q$, follow these steps:

1. Start with the given equation: $p(r+s) = q$

2. To isolate $p$, divide both sides of the equation by $(r+s)$, assuming $r+s \neq 0$: $p = \frac{q}{r+s}$

Thus, the solution for $p$ is: $p = \frac{q}{r+s}$

Would you like a detailed explanation of any step or have more questions?

Here are 5 related questions to explore this topic further:

1. How do you solve for $r$ in the equation $p(r+s) = q$?
2. What happens if $r+s = 0$ in this equation?
3. How can you apply this formula to real-world problems?
4. How do you solve a similar equation like $p(r-s) = q$?
5. What is the interpretation of this formula in terms of proportionality?

Tip: Always check for values that could make the denominator zero when solving rational equations!