To solve the equation \(-\frac{3}{x} = \frac{2}{9}\), you can follow these steps:
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Cross-multiply to eliminate the fractions: \[ -3 \cdot 9 = 2 \cdot x \] which simplifies to: \[ -27 = 2x \]
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Now, solve for \(x\) by dividing both sides by 2: \[ x = \frac{-27}{2} \]
So, the solution is: \[ x = -\frac{27}{2} \]