To solve the equation \( 8 - \frac{x}{3} = 16 \), follow these steps:
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Subtract 8 from both sides: \[ -\frac{x}{3} = 16 - 8 \] which simplifies to: \[ -\frac{x}{3} = 8 \]
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Multiply both sides by -1 to get rid of the negative sign: \[ \frac{x}{3} = -8 \]
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Multiply both sides by 3 to solve for \(x\): \[ x = -8 \times 3 \] which simplifies to: \[ x = -24 \]
Thus, the solution to the equation \( 8 - \frac{x}{3} = 16 \) is \[ \boxed{-24}. \]