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:

\[ -2 = 3r + 10 \]