Use the properties of operations to add 9(k+1/3)+10(1/2k-1).
To add the given expression, we will first distribute the coefficients to their respective terms:
9(k) + 9(1/3) + 10(1/2k) + 10(-1)
Simplifying each term, we get:
9k + 3 + 5k + (-10)
Combining like terms, we have:
(9k + 5k) + (3 - 10)
This simplifies to:
14k + (-7)
The simplified expression is 14k - 7.