ubtract: 2(k−4)−3(2k−1)

Question

2
(
𝑘
−
4
)
−
3
(
2
𝑘
−
1
)
.(1 point)
Responses

−6k−18
−
6
𝑘
−
18
negative 6 k minus 18

−4k−11
−
4
𝑘
−
11
negative 4 k minus 11

8k−11
8
𝑘
−
11
8 k minus 11

−4k−5
−
4
𝑘
−
5
negative 4 k minus 5

Answer 1

To simplify the expression \( 2(k - 4) - 3(2k - 1) \), we will expand both terms and then combine like terms.

1. Distributing the \( 2 \) in the first term: \[ 2(k - 4) = 2k - 8 \]

2. Distributing the \( -3 \) in the second term: \[ -3(2k - 1) = -6k + 3 \]

3. Now, combine these results: \[ 2k - 8 - 6k + 3 \]

4. Combine the like terms:

   • Combine \( 2k \) and \( -6k \): \[ 2k - 6k = -4k \]
   • Combine \( -8 \) and \( +3 \): \[ -8 + 3 = -5 \]

5. Putting it all together, we have: \[ -4k - 5 \]

Therefore, the final answer is: \[ \boxed{-4k - 5} \]