https://file.aiquickdraw.com/mathbot/file/17286562929263sujtavi.jpg

The expression shown in the image is:

\[
10 + 4n - 8n - 1
\]

### Step-by-Step Solution:
1. Combine like terms involving \(n\):
   \[
   4n - 8n = -4n
   \]
2. Now, combine the constants \(10\) and \(-1\):
   \[
   10 - 1 = 9
   \]
3. So, the simplified expression is:
   \[
   9 - 4n
   \]

Would you like to explore more details about simplifying expressions, or do you have any other questions? Here are some related questions:

1. How do you solve for \(n\) if the expression is set equal to a number?
2. Can you provide examples of how to expand algebraic expressions with parentheses?
3. What are like terms, and why is it important to combine them?
4. How do we handle more complex expressions with multiple variables?
5. What are common mistakes when simplifying algebraic expressions?

**Tip:** Always group like terms (terms with the same variable and exponent) to simplify algebraic expressions efficiently.

Simplify the expression 10 + 4n - 8n - 1.

Learn how to simplify the algebraic expression 10 + 4n - 8n - 1 with a step-by-step approach. This example covers key algebra concepts like combining like terms and simplifying constants. Suitable for students in Grades 6-8.

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