To simplify the expression \((3m-6n)-(2n+3m)+(2m-4n)\), follow these steps:

1. Distribute the negative sign through the parentheses.
2. Combine like terms.

**Step 1: Distribute the negative sign**

\[
(3m - 6n) - (2n + 3m) + (2m - 4n)
\]

Distribute the negative sign to the second group:

\[
(3m - 6n) - 2n - 3m + (2m - 4n)
\]

**Step 2: Combine like terms**

Group the \(m\) terms together and the \(n\) terms together:

\[
(3m - 3m + 2m) + (-6n - 2n - 4n)
\]

Combine the \(m\) terms:

\[
(3m - 3m + 2m) = 2m
\]

Combine the \(n\) terms:

\[
(-6n - 2n - 4n) = -12n
\]

So, the simplified expression is:

\[
2m - 12n
\]

Do you want more details or have any questions about this process?

Here are 5 numbered questions you can ask:

1. How do you simplify algebraic expressions with multiple variables?
2. What are like terms in algebra?
3. How do you solve linear equations?
4. Can you explain the distributive property in algebra?
5. How do you factor quadratic equations?

**Tip:** Always combine like terms to simplify algebraic expressions effectively.

Learn how to simplify the expression (3m-6n)-(2n+3m)+(2m-4n) step-by-step with detailed explanations. This problem involves combining like terms in algebraic expressions. Suitable for students in Grades 7-9.

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