To solve the equation \( \frac{k}{3} - 11 = -5 \), follow these steps:
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Add 11 to both sides of the equation:
\[ \frac{k}{3} - 11 + 11 = -5 + 11 \]
This simplifies to:
\[ \frac{k}{3} = 6 \]
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Next, multiply both sides by 3 to solve for \( k \):
\[ k = 6 \times 3 \]
Therefore:
\[ k = 18 \]
The solution is \( k = 18 \).