To simplify the expression \(9(k + 13) + 10(12k - 1)\), we can use the distributive property to expand the expression.
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Distribute \(9\) into \(k + 13\): \[ 9(k + 13) = 9k + 117 \]
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Distribute \(10\) into \(12k - 1\): \[ 10(12k - 1) = 120k - 10 \]
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Now, combine these results: \[ 9k + 117 + 120k - 10 \]
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Combine like terms: \[ (9k + 120k) + (117 - 10) = 129k + 107 \]
Thus, the simplified expression is: \[ 129k + 107 \]
However, none of the provided responses match this result, so none of the given options apply to this calculation.