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