Question

Apply the properties of operations to 5(k-4)+k(6+3) to generate an equivalent and fully simplified expression.

Answer 1

Step 1: Distribute the 5 and the k in the first term:
5(k-4) = 5k - 20

Step 2: Distribute the k in the second term:
k(6+3) = 6k + 3k = 9k

Step 3: Combine the two terms:
5k - 20 + 9k = 14k - 20

Therefore, the equivalent and fully simplified expression is 14k - 20.