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Let's simplify the given expression step by step. The expression is:

\[
7p^2 + 10p^2 + (-4p^2) + (-10p^2) - 5p^2 + 7p^2
\]

### Step 1: Combine the like terms
All terms involve \( p^2 \), so we can add or subtract their coefficients:

\[
(7 + 10 - 4 - 10 - 5 + 7)p^2
\]

### Step 2: Simplify the coefficients
Now, add and subtract the coefficients:

\[
7 + 10 = 17
\]
\[
17 - 4 = 13
\]
\[
13 - 10 = 3
\]
\[
3 - 5 = -2
\]
\[
-2 + 7 = 5
\]

So, the simplified expression is:

\[
5p^2
\]

### Final Answer:
\[
5p^2
\]

Do you need further explanation or any details?

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Here are some related questions:
1. What are like terms, and how do you identify them in an expression?
2. How do you factor expressions after simplifying them?
3. How do different powers of the same variable affect simplification?
4. Can you explain why terms with different powers can't be combined?
5. What strategies can you use to double-check your work when simplifying expressions?

**Tip**: When simplifying expressions, always group like terms first. This helps in organizing and reducing the expression effectively.

Simplify the expression: 7p^2 + 10p^2 + (-4p^2) + (-10p^2) - 5p^2 + 7p^2

Learn how to simplify the algebraic expression 7p^2 + 10p^2 - 4p^2 with a step-by-step breakdown. This problem helps reinforce the concepts of like terms and simplifying algebraic expressions. Suitable for students in Grades 7-9.

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