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