9(k + 1/3) + 10(1/2k - 1)
To simplify the expression 9(k + 1/3) + 10(1/2k - 1), we first distribute the 9 and the 10 to each term in the parentheses:
9(k) + 9(1/3) + 10(1/2k) - 10(1)
This simplifies to:
9k + 3 + 10(1/2k) - 10
Next, we simplify the expression 10(1/2k):
10(1/2k) = 10/2k = 5/k
Therefore, the expression becomes:
9k + 3 + 5/k - 10
Combining like terms, we get:
9k + 5/k - 7