To simplify the expression \( 9(k + 13) + 10(12k - 1) \), we will follow the steps of distributing and combining like terms.
- Distribute \(9\) and \(10\):
\[ 9(k + 13) = 9k + 117 \]
\[ 10(12k - 1) = 120k - 10 \]
- Now, combine the results:
\[ 9k + 117 + 120k - 10 \]
- Combine the like terms (the \(k\) terms and the constant terms):
\[ (9k + 120k) + (117 - 10) = 129k + 107 \]
So, the final simplified expression is:
\[ 129k + 107 \]
However, none of the given options match this outcome. Let's check if additional discrepancies or if variables could lead you towards the selection.
If instead,
- You meant to write a case of miscalculation or shortcuts.
- Recheck the operations. Given you suspect certain options to be valid, then you can correlate specifics towards \(k\) adjustments; part by keeping check factorization towards both results. These might hint towards correct assembly.
But here's safely put the final derivative you derived:
\( 129k + 107 \)
Please review for exactness or if any context misses around operations' effects.