Let's solve the equation $5(p + 2) = 10$.

Step-by-step solution:

1. Distribute the 5 to both terms inside the parentheses: $5 \cdot p + 5 \cdot 2 = 10 \quad \Rightarrow \quad 5p + 10 = 10$

2. Subtract 10 from both sides to isolate the term with $p$: $5p + 10 - 10 = 10 - 10 \quad \Rightarrow \quad 5p = 0$

3. Divide both sides by 5 to solve for $p$: $p = \frac{0}{5} \quad \Rightarrow \quad p = 0$

Thus, the solution is $p = 0$.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. What would happen if the equation was $5(p + 3) = 10$?
2. How do we solve $3(p + 4) = 12$?
3. What if the equation was $5(p - 2) = 20$?
4. How do we handle equations with fractions like $\frac{5}{2}(p + 2) = 10$?
5. Can we have a negative solution for $p$ if the equation were $5(p + 2) = -10$?

Tip: Always distribute multiplication across parentheses before isolating the variable to simplify equations easily.