Question

What can you do to bring the variables to the same side in the equation 6n−3=−2n−35?

Two of these are correct.

You can subtract 2n from both sides.

You can add 6n to both sides.

You can add 2n to both sides.

Answer 1

To bring the variables to the same side in the equation \(6n - 3 = -2n - 35\), let's analyze the options:

1. **Subtract \(2n\) from both sides**:
This would result in \(6n + 2n - 3 = -35\), which combines the variables on the left side. This option is correct.

2. **Add \(6n\) to both sides**:
This would result in \(6n + 6n - 3 = -2n - 35 + 6n\), which also combines the variables on the left side but complicates it unnecessarily. This option generally isn't used as it's not effective to bring \(6n\) to the left since it is already there. This option is not correct.

3. **Add \(2n\) to both sides**:
This would result in \(6n + 2n - 3 = -35\), which combines the variables. This is also correct.

So the correct options are:
- Subtract \(2n\) from both sides.
- Add \(2n\) to both sides.

To summarize, the two correct options are:
1. Subtract \(2n\) from both sides.
2. Add \(2n\) to both sides.