To find \( n \) in terms of \( m \) from the equation \( m = 8n + 15 \), we need to solve for \( n \).

Starting with the equation:
\[ m = 8n + 15 \]

Subtract 15 from both sides to isolate the term involving \( n \):
\[ m - 15 = 8n \]

Now, divide both sides by 8 to solve for \( n \):
\[ n = \frac{m - 15}{8} \]

Thus, the value of \( n \) in terms of \( m \) is:
\[ n = \frac{m - 15}{8} \]

Would you like more details or have any questions?

Here are some related questions to further your understanding:

1. If \( m = 47 \), what is the value of \( n \)?
2. How would you check if a given \( n \) is an integer for a specific \( m \)?
3. If \( n \) is an integer, what can you say about the value of \( m \)?
4. Can you express \( m \) in terms of \( n \)?
5. What is the general solution of \( n = \frac{m - 15}{8} \) for any integer \( m \)?
6. If \( n = 5 \), what is the corresponding value of \( m \)?
7. How does the equation change if it is modified to \( m = 8n - 15 \)?
8. What are the possible integer values of \( m \) if \( n \) is restricted to non-negative integers?

**Tip:** When solving linear equations, always perform inverse operations step-by-step to isolate the variable you're solving for.

Learn how to solve the equation m = 8n + 15 to find n in terms of m. Step-by-step solution provided, including isolating variables and performing inverse operations. Suitable for students in Grades 7-9 studying linear equations.

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