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To solve the equation \( 6m = 4m - 10 \), we can follow these steps:

### Step 1: Isolate the variable \( m \) on one side of the equation.
Subtract \( 4m \) from both sides:

\[
6m - 4m = 4m - 4m - 10
\]

This simplifies to:

\[
2m = -10
\]

### Step 2: Solve for \( m \).
Now, divide both sides of the equation by 2 to solve for \( m \):

\[
m = \frac{-10}{2}
\]

This simplifies to:

\[
m = -5
\]

### Final Answer:
\[
m = -5
\]

Would you like further details on any step or explanation?

Here are 5 related questions to expand on this:

1. How would you solve an equation if there were terms with \( m^2 \)?
2. What if both sides of the equation had constant numbers, how would you proceed?
3. Can you explain how to check if your solution for \( m \) is correct?
4. How would the solution change if you had \( 6m = 4m + 10 \)?
5. How can you apply this approach to real-life problems involving unknown quantities?

**Tip:** When solving linear equations, always aim to isolate the variable step-by-step by performing inverse operations (adding, subtracting, multiplying, or dividing).

This step-by-step guide explains how to solve the linear equation 6m = 4m - 10 by isolating the variable m and performing basic algebraic manipulations. Suitable for students in Grades 6-8.

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