Use the properties of operations to add 9(k+1/3)+10(1/2k−1)

Question

9
(

Answer 1

9(k+1/3)+10(1/2k−1) can be simplified using the distributive property.

First, distribute the 9 to both terms inside the first parentheses:

9k + 3/3 + 10(1/2k - 1)

Simplify 3/3 to 1:

9k + 1 + 10(1/2k - 1)

Next, distribute the 10 to both terms inside the second parentheses:

9k + 1 + 10/2k - 10

Simplify 10/2k to 5k:

9k + 1 + 5k - 10

Combine like terms:

(9k + 5k) + (1 - 10)

14k - 9