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To solve the equation \((p + 3) + 8 = 10\), let's break it down step by step:

### Step 1: Simplify the equation
We start with the equation:
\[
(p + 3) + 8 = 10
\]
First, combine like terms on the left-hand side:
\[
p + 3 + 8 = 10
\]
\[
p + 11 = 10
\]

### Step 2: Isolate the variable \( p \)
To solve for \( p \), subtract 11 from both sides of the equation:
\[
p + 11 - 11 = 10 - 11
\]
\[
p = -1
\]

### Conclusion:
The solution is \( p = -1 \).

The correct answer is **A) -1**.

Would you like more details or have any questions?

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Here are some related questions you might find interesting:
1. What happens if we change the constant 8 in the equation to another number?
2. How would the solution change if the equation was \((p + 3) + 8 = 15\)?
3. Can you solve the equation if it were \((p - 2) + 8 = 10\)?
4. What if the equation was a quadratic, such as \((p^2 + 3) + 8 = 10\)?
5. How can this equation be represented graphically?
6. What are the implications if the variable \( p \) represented a physical quantity?
7. How do we check the solution to the equation?
8. Can you create a similar equation with a different solution?

**Tip:** When solving linear equations, always combine like terms and then isolate the variable step by step to avoid mistakes.

Learn how to solve the linear equation (p + 3) + 8 = 10 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and isolating variables. Suitable for students in Grades 6-8.

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