To solve for \( h \) in the equation \( h - 3 = 8h \):
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Start with the equation: \[ h - 3 = 8h \]
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Subtract \( h \) from both sides: \[ -3 = 8h - h \] Simplifying gives: \[ -3 = 7h \]
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Now, divide both sides by 7: \[ h = -\frac{3}{7} \]
So, the solution is: \[ \boxed{-\frac{3}{7}} \]