Math Problem Statement

Rewrite in simplest terms: - 5 (- 10p +8p -5)-p−5

Solution

Let's simplify the expression: 5(10p+8p5)p5-5(-10p + 8p - 5) - p - 5.

Step 1: Simplify inside the parentheses

Inside the parentheses:
10p+8p5-10p + 8p - 5 simplifies to: 2p5-2p - 5

So, the expression now looks like: 5(2p5)p5-5(-2p - 5) - p - 5

Step 2: Distribute the 5-5

Distribute 5-5 across 2p5-2p - 5: 5(2p)=10p-5(-2p) = 10p 5(5)=25-5(-5) = 25

Now, the expression is: 10p+25p510p + 25 - p - 5

Step 3: Combine like terms

Combine the terms involving pp and the constant terms: 10pp=9p10p - p = 9p 255=2025 - 5 = 20

Thus, the simplified expression is: 9p+209p + 20

Let me know if you have any questions or want further details!

Here are 5 relative questions:

  1. What are like terms in algebra?
  2. How do you apply the distributive property?
  3. How can you check if an expression is fully simplified?
  4. What is the difference between constants and variables?
  5. How do you combine like terms when simplifying?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property
Combining Like Terms

Formulas

-

Theorems

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Suitable Grade Level

Grades 7-9