The given expression is:

\[
4m + 9m + 6m - 2n
\]

First, combine the like terms involving \(m\):

\[
(4m + 9m + 6m) = 19m
\]

Now the expression becomes:

\[
19m - 2n
\]

So, the simplified expression is:

\[
19m - 2n
\]

Would you like more details or have any questions?

Here are 5 related questions you could explore:
1. What if \(m = 2\) and \(n = 3\), how does the expression simplify numerically?
2. How would you factor out the common terms if there are any?
3. What happens if you introduce additional variables, say \(p\) or \(q\), into the equation?
4. Can you rewrite the expression using distribution?
5. How would the equation change if we had a square term like \(m^2\) added?

**Tip:** Always combine like terms first when simplifying algebraic expressions!

Learn how to simplify the algebraic expression 4m + 9m + 6m - 2n step-by-step. This problem covers key algebraic concepts such as combining like terms and basic expression simplification. Suitable for students in Grades 6-8.

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