To solve the equation \( \frac{x}{-4} - 9 = -4 \), follow these steps:
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Isolate the fraction: Add 9 to both sides of the equation:
\[ \frac{x}{-4} = -4 + 9 \]
\[ \frac{x}{-4} = 5 \]
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Eliminate the fraction: Multiply both sides by -4:
\[ x = 5 \times -4 \]
\[ x = -20 \]
So, the solution is \( x = -20 \).