To simplify the expression \( 9(k+13) + 10(12k-1) \), we will first use the distributive property to expand both terms.
-
Distribute \(9\) in the first term: \[ 9(k + 13) = 9k + 117 \]
-
Distribute \(10\) in the second term: \[ 10(12k - 1) = 120k - 10 \]
Now, we can combine the results from both distributions: \[ 9k + 117 + 120k - 10 \]
- Combine like terms:
- Combine the \(k\) terms: \(9k + 120k = 129k\)
- Combine the constant terms: \(117 - 10 = 107\)
So we have: \[ 129k + 107 \]
Now let's see if this matches any of the given responses. It appears that the expected responses use simplified forms that are quite different from our result. However, the expression we've simplified isn't exactly in the choices.
But if you're interested in checking for simplifications further or reevaluating, traditionally just in terms of \(k\) and constants, we've nonetheless accurately simplified \(9(k+13) + 10(12k-1)\) to \(129k + 107\).
If the responses given were expected outputs, ensure clarity on the form of expected answers or re-examine the expressions provided to ascertain if others need addressing.
None of the response options provided match this correct simplification of \(129k + 107\), hence:
This would imply either an error in given responses or misinterpretation in the problem typically requiring that exact output representation with respect to possible transformation nuances expected therein.