Question

Simplify to create an equivalent expression: 19 - 6(-k - 2)

A: -6k + 31
B: 25k + 7
C: 6k + 31
D: 25k + 31

Answer 1

To simplify the expression 19 - 6(-k - 2), distribute -6 to k and -2, then combine like terms to get 6k + 31. The correct answer is C: 6k + 31.

Step-by-step explanation:

To simplify the expression 19 - 6(-k - 2), we start by distributing the -6 to both k and -2. This gives:

• 19 - 6(-k) - 6(-2)
• 19 + 6k + 12

Next, we combine the like terms, 19 and 12, to get:

• 6k + 31

Therefore, the equivalent expression is 6k + 31. The correct answer from the given options is C: 6k + 31.