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c. \\(\\frac{2}{9}h = -8\\)

Question

c. \\(\frac{2}{9}h = -8\\)

Explanation:

Step1: Multiply both sides by 9/2

To solve for \( h \), we multiply both sides of the equation \( \frac{2}{9}h = -8 \) by the reciprocal of \( \frac{2}{9} \), which is \( \frac{9}{2} \). This gives us \( \frac{9}{2} \times \frac{2}{9}h = -8 \times \frac{9}{2} \).

Step2: Simplify both sides

On the left side, \( \frac{9}{2} \times \frac{2}{9} \) simplifies to 1, so we have \( h = -8 \times \frac{9}{2} \). Calculating the right side, \( -8 \times \frac{9}{2} = -36 \).

Answer:

\( h = -36 \)