Now that you have all the f terms on the left, you can start thinking about how to make sure the constant numbers are only on one side of the equation. What move can you make to get rid of the −10 on the left, so that all the constant numbers are on the right, while keeping the equation balanced?

Question

Now that you have all the f terms on the left, you can start thinking about how to make sure the constant numbers are only on one side of the equation. What move can you make to get rid of the −10 on the left, so that all the constant numbers are on the right, while keeping the equation balanced?
22f − 10
=
−10f − 8
+
10f
+
10f
 
32f − 10
=
−8

Multiply both sides by 10

Divide both sides by 10

Add 10 to both sides

Subtract 10 from both sides

GPT-4o mini · Answer

To get rid of the $-10$ on the left side of the equation and keep the equation balanced, you should **add 10 to both sides**. This will move the constant to the right side of the equation. So, the correct move is: **Add 10 to both sides**. This gives you: $$ 32f - 10 + 10 = -8 + 10 $$ Which simplifies to: $$ 32f = 2 $$