Let's solve the equation:

\[
-6m = -9(2m - 4)
\]

### Step 1: Distribute the \(-9\) on the right side of the equation.

\[
-6m = -9 \times 2m + (-9) \times (-4)
\]

This simplifies to:

\[
-6m = -18m + 36
\]

### Step 2: Add \(18m\) to both sides to get all the \(m\) terms on one side of the equation.

\[
-6m + 18m = 36
\]

This simplifies to:

\[
12m = 36
\]

### Step 3: Divide both sides by 12 to solve for \(m\).

\[
m = \frac{36}{12}
\]

This simplifies to:

\[
m = 3
\]

So, the solution is \(m = 3\).

Would you like more details on any part of this solution? 

Here are 5 related questions you might be interested in:
1. How do you check if a solution to an equation is correct?
2. What are the common mistakes to avoid when solving linear equations?
3. How do you solve equations with variables on both sides?
4. Can equations like this have no solution or infinite solutions?
5. How does distributing and combining like terms work in equations?

**Tip:** When dealing with negative signs in equations, be careful to correctly distribute and combine terms to avoid errors.

Learn how to solve the linear equation -6m = -9(2m - 4) with a detailed step-by-step solution. This problem involves concepts such as linear equations and the distributive property. Suitable for students in Grades 6-8.

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