To solve the equation \( \frac{2}{3} (6h - 9) = 6 \), we can follow these steps:
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Multiply both sides of the equation by \( \frac{3}{2} \) to eliminate the fraction: \[ 6h - 9 = 6 \cdot \frac{3}{2} \] \[ 6h - 9 = 9 \]
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Next, add 9 to both sides: \[ 6h = 9 + 9 \] \[ 6h = 18 \]
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Now, divide both sides by 6: \[ h = \frac{18}{6} \] \[ h = 3 \]
Since 3 is not listed in your options, let's check if any response can be correct.
None of the options \( -1, 11, 33, 5 \) match the solution \( h = 3 \). Therefore, it seems there may be an error either in the equation or the provided options. If you need assistance with a different equation or need further clarification, let me know!