https://file.aiquickdraw.com/mathbot/file/1727016251298qqqpocf1.jpg

The equation in the image appears to be:

\[
\frac{3m - 5m - 8}{15} = 10 + n
\]

Let me simplify and solve this for you.

1. Combine like terms on the left-hand side:
   \[
   3m - 5m = -2m
   \]
   So, the equation becomes:
   \[
   \frac{-2m - 8}{15} = 10 + n
   \]

2. Multiply both sides by 15 to eliminate the denominator:
   \[
   -2m - 8 = 15(10 + n)
   \]
   \[
   -2m - 8 = 150 + 15n
   \]

3. Solve for \(m\) by isolating the variable. First, add 8 to both sides:
   \[
   -2m = 158 + 15n
   \]

4. Now, divide both sides by \(-2\) to solve for \(m\):
   \[
   m = -\frac{158 + 15n}{2}
   \]

This is the solution for \(m\) in terms of \(n\).

Would you like further details or a breakdown of each step?

Here are some related questions to explore:
1. How would the solution change if the constants were different?
2. Can you solve for \(n\) instead of \(m\)?
3. What happens if you try to isolate \(n\) before solving for \(m\)?
4. How do changes in the denominator affect the solution process?
5. How does multiplying both sides of an equation by a constant influence its balance?

**Tip**: Always simplify equations by combining like terms before attempting to solve for variables.

Simplify and solve the equation: (3m - 5m - 8) / 15 = 10 + n

Learn how to solve algebraic equations involving fractions and variables. This guide offers a step-by-step approach to simplify and solve the equation (3m - 5m - 8) / 15 = 10 + n, suitable for high school students.

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