Let's simplify the expression:

\[
-5(-10p + 8p - 5) - p
\]

### Step 1: Simplify inside the parentheses

\[
-10p + 8p - 5 = -2p - 5
\]

Now the expression becomes:

\[
-5(-2p - 5) - p
\]

### Step 2: Distribute the \(-5\) across the terms inside the parentheses

\[
-5 \times (-2p) + (-5 \times -5) = 10p + 25
\]

Now, the expression is:

\[
10p + 25 - p
\]

### Step 3: Combine like terms

\[
10p - p + 25 = 9p + 25
\]

### Final Answer:

\[
9p + 25
\]

Would you like more details on this simplification or have any questions?

Here are 5 follow-up questions related to this expression:

1. How do you combine like terms involving variables?
2. What is the distributive property, and how is it applied?
3. What steps should you take when simplifying expressions inside parentheses?
4. Can the expression \(9p + 25\) be factored further?
5. How would you solve \(9p + 25 = 0\) for \(p\)?

**Tip:** Always simplify expressions inside parentheses first before distributing or combining like terms.

This detailed step-by-step guide explains how to simplify the algebraic expression -5(-10p + 8p - 5) - p. Learn key concepts like the distributive property and combining like terms. Suitable for students in Grades 6-8.

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