To simplify the given expression, we can distribute and combine like terms:
9(k + 1/3) + 10(1/3k - 1)
= 9k + 9(1/3) + 10(1/3k) - 10(1)
= 9k + 3 + (10/3)k - 10
= (9k + (10/3)k) + (3 - 10)
= (27k + 10k)/3 - 7
= 37k/3 - 7
9(k+1/3)+10(1/3k-1)
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