To simplify the expression, let's use the distributive property of multiplication over addition/subtraction:
9(k + 1/3) + 10(1/2k - 1)
= 9k + 9(1/3) + 10(1/2k) + 10(-1)
= 9k + 3 + 5k + (-10)
= 9k + 5k + 3 - 10
Now, combining like terms:
= (9k + 5k) + (3 - 10)
= 14k + (-7)
Simplified expression: 14k - 7
Use the properties of operations add 9(k+1/3)+10(1/2k-1)
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