Use the operation of property to add 9(k+1/3)+10(1/2k-1)
Using the distributive property, you can simplify the expression 9(k + 1/3) + 10(1/2k - 1) by distributing the coefficients (9 and 10, respectively) across the terms within the parentheses. Let's do that step by step:
First, distribute the 9 across (k + 1/3):
9 * k + 9 * (1/3) = 9k + 3 (since 9 * 1/3 = 3)
Next, distribute the 10 across (1/2k - 1):
10 * (1/2k) - 10 * 1 = 5k - 10 (since 10 * 1/2 = 5)
Now, combine the results of the two distributions:
9k + 3 + 5k - 10
Combine like terms:
(9k + 5k) + (3 - 10) = 14k - 7
So, the simplified expression after adding 9(k + 1/3) + 10(1/2k - 1) is:
14k - 7