To solve the equation \( \frac{k}{6} - 5 = 2 \), follow these steps:
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Add 5 to both sides of the equation:
\[ \frac{k}{6} = 2 + 5 \]
\[ \frac{k}{6} = 7 \]
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Multiply both sides by 6 to isolate \( k \):
\[ k = 7 \times 6 \]
\[ k = 42 \]
The solution is \( k = 42 \).