Now that you have all the variables on the right, you can start thinking about how to make sure all the constant numbers are only on one side. What move can you make to get rid of the 9 on the right, so that 8h is alone on the right side, while keeping the equation balanced?

5
1

(5h−15)
=
9h+9

h − 3
=
9h + 9

h

h

−3
=
8h + 9

Divide both sides by 9

Add 9 to both sides of the equation

Subtract 9 from both sides of the equation

1 answer

To isolate \(8h\) on the right side of the equation while keeping it balanced, you can subtract 9 from both sides of the equation. This will get rid of the constant 9 on the right side, allowing you to work towards having all the variables on one side and constants on the other.

So the steps would be:

  1. Start with the equation: \[ h - 3 = 9h + 9 \]

  2. Subtract 9 from both sides: \[ h - 3 - 9 = 9h + 9 - 9 \] This simplifies to: \[ h - 12 = 9h \]

Now you have all the variables on one side (9h) and the constant (-12) on the other, which is what you were aiming for.

If you need further assistance or additional steps, feel free to ask!