To solve the equation \( \frac{x}{3} - 9 = 6 \), follow these steps:
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First, add 9 to both sides of the equation to isolate the term with \( x \): \[ \frac{x}{3} = 6 + 9 \] \[ \frac{x}{3} = 15 \]
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Next, multiply both sides of the equation by 3 to solve for \( x \): \[ x = 15 \times 3 \] \[ x = 45 \]
Thus, the solution for \( x \) is \( \boxed{45} \).