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To simplify the expression 9(k+13)+10(12k−1), we can first distribute the 9 and 10 to the terms inside the parentheses:
9(k+13) + 10(12k−1) = 9k + 9(13) + 10(12k) - 10(1)
Multiplying the terms:
= 9k + 117 + 120k -10
Combining like terms:
= 9k + 120k + 117 - 10
= 129k + 107
So, 9(k+13)+10(12k−1) simplifies to 129k + 107.