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?

Question

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:

$$-2=3r+10$$