Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point) Responses 14k−7 14 k minus 7 14k−23 14 k minus Start Fraction 2 over 3 End Fraction 14k+13 14 k plus 13 1912k−23
To add 9(k+13) + 10(12k-1), you can distribute the 9 and 10 to each term within the parentheses.
First, distribute 9:
9(k+13) = 9k + 9(13) = 9k + 117
Next, distribute 10:
10(12k-1) = 10(12k) + 10(-1) = 120k - 10
Now, you can combine the like terms:
9k + 117 + 120k - 10 = 9k + 120k + 117 - 10 = (9k + 120k) + (117 - 10) = 129k + 107
Therefore, the result is 129k + 107.