Question

You rewrote the left side of the equation without parentheses. Now, we can keep solving by making sure there are only r terms on one side of the equation. Let’s get rid of the r terms on the left so there are only r terms on the right side. What move can you make next to get rid of 3r on the left, while keeping the equation balanced?
4
1
​
(12r−8)
=
6r+10

3r − 2
=
6r + 10

Multiply both sides by 3r

Add 3r to both sides

Subtract 3r from both sides

Divide both sides by 3r

Answer 1

To isolate the \( r \) terms on the right side of the equation and eliminate \( 3r \) from the left side, the correct move is to **subtract \( 3r \) from both sides**. This will help you achieve your goal of having only \( r \) terms on one side of the equation.

So, the next step should be:

Subtract \( 3r \) from both sides:

\[
3r - 3r - 2 = 6r + 10 - 3r
\]

This simplifies to:

\[
-2 = 3r + 10
\]