To solve the equation \( \frac{x}{3} - 9 = 6 \), follow these steps:
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First, isolate the term with \( x \) by adding 9 to both sides of the equation: \[ \frac{x}{3} - 9 + 9 = 6 + 9 \] This simplifies to: \[ \frac{x}{3} = 15 \]
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Next, eliminate the fraction by multiplying both sides of the equation by 3: \[ 3 \cdot \frac{x}{3} = 15 \cdot 3 \] This simplifies to: \[ x = 45 \]
Thus, the solution of the equation is \( x = 45 \).