To solve the equation \( \frac{x}{4} - 9 = -13 \), follow these steps:
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Add 9 to both sides of the equation:
\[ \frac{x}{4} - 9 + 9 = -13 + 9 \]
This simplifies to:
\[ \frac{x}{4} = -4 \]
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Multiply both sides by 4 to isolate \( x \):
\[ x = -4 \times 4 \]
This gives:
\[ x = -16 \]
Thus, the solution to the equation is \( x = -16 \).