Use the properties of operations to add 9 (k + 1/3) + 10 (1/2k - 1).
Options:
14k + 13
14k - 7
14k - 2/3
191/2k - 2/3
To simplify the expression 9(k + 1/3) + 10(1/2k - 1), let's distribute the coefficients to each term within the parentheses:
9(k) + 9(1/3) + 10(1/2k) - 10(1)
Simplifying further:
9k + 9/3 + 10/2 * k - 10
Combining like terms:
9k + 3 + 5k - 10
Simplifying further:
(9k + 5k) + (3 - 10)
Combining like terms:
14k + (-7)
The simplified expression is 14k - 7.