Match the equation with the step needed to solve it.

1. 2m - 1 = 3m subtract m
2. 2m = 1 + m subtract 2
3. m - 1 = 2 subtract 1
4. 2 + m = 3 subtract 2m
5. -2 + m = 1 add 2
6. 3 = 1 + m add 1

Try the various operations

Only #5 will leave you with an equation for m

To match the equation with the step needed to solve it, we need to analyze each equation and determine the appropriate step to solve it. Here are the matches:

1. 2m - 1 = 3m subtract m
2. 2m = 1 + m subtract 2
3. m - 1 = 2 add 1
4. 2 + m = 3 subtract 2
5. -2 + m = 1 add 2
6. 3 = 1 + m subtract 1

These matches are made based on the operation required to isolate the variable m on one side of the equation. Let's go through each equation and explain how to solve them:

1. 2m - 1 = 3m subtract m:
To isolate m, we want to remove 2m from the left side of the equation. We can do this by subtracting m from both sides. This will give us -1 = m.

2. 2m = 1 + m subtract 2:
To isolate m, we want to remove 2 from the left side of the equation. We can do this by subtracting 2 from both sides. This will give us 2m - 2 = m.

3. m - 1 = 2 add 1:
To isolate m, we want to remove -1 from the left side of the equation. We can do this by adding 1 to both sides. This will give us m - 1 + 1 = 2 + 1, which simplifies to m = 3.

4. 2 + m = 3 subtract 2m:
To isolate m, we want to remove 2 from the left side of the equation. We can do this by subtracting 2 from both sides. This will give us m + 2 - 2 = 3 - 2, which simplifies to m = 1.

5. -2 + m = 1 add 2:
To isolate m, we want to remove -2 from the left side of the equation. We can do this by adding 2 to both sides. This will give us -2 + m + 2 = 1 + 2, which simplifies to m = 3.

6. 3 = 1 + m subtract 1:
To isolate m, we want to remove 1 from the right side of the equation. We can do this by subtracting 1 from both sides. This will give us 3 - 1 = 1 + m. Simplifying further, we get 2 = m + 1. To isolate m, we can subtract 1 from both sides, resulting in 2 - 1 = m + 1 - 1, which simplifies to 1 = m.

By matching the equations with the appropriate steps, you can solve each equation and find the value of m.