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Let's go through the solution the student provided for the equation \( 6n + 8 = 4n - 9 \) and identify any mistakes.

### Student's Solution Steps:

1. **Original Equation:** 
   \[
   6n + 8 = 4n - 9
   \]
   
2. **Subtract 8 from both sides:**
   \[
   6n + 8 - 8 = 4n - 9 - 8
   \]
   This step simplifies to:
   \[
   6n = 4n - 17
   \]

3. **Subtract \( 4n \) from both sides:**
   \[
   6n - 4n = 4n - 4n - 17
   \]
   Simplifying this:
   \[
   2n = -17
   \]

4. **Solve for \( n \):**
   \[
   n = \frac{-17}{2} = -8.5
   \]

So, the correct solution is \( n = -8.5 \). However, the student made a mistake in the following step:

### Mistake Identification:

- In the third step, the student simplifies \( 6n - 4n = 4n - 4n - 1 \) (which should have been \( -17 \)) incorrectly, resulting in \( 2n = -1 \) instead of \( 2n = -17 \).

### Answer:

The correct solution is **D**: "He simplified \( 4n - 9 - 8 \) as \( 4n - 1 \) instead of \( 4n - 17 \). The correct solution of the equation is \( n = -8.5 \)."

Would you like more details or have any other questions?

### Related Questions:
1. What happens if the mistake occurs at a later step in solving the equation?
2. How do you avoid sign errors when subtracting or adding terms in an equation?
3. Can you explain how the distributive property could apply in a similar equation?
4. What would the correct solution be if the equation were \( 6n + 8 = 4n + 9 \)?
5. How does solving an equation change when there are variables on both sides?

### Tip:
Always check each step carefully, especially when simplifying expressions involving subtraction or negative signs.

Find the Error: A student solved the equation 6n + 8 = 4n - 9. Find his mistake and correct it.

Learn how to identify and correct a mistake in solving the linear equation 6n + 8 = 4n - 9. This problem involves key algebraic concepts such as simplifying terms and solving for variables. Suitable for students in Grades 7-9.

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