Subtract: 2(k−4)−3(2k−1) .(1 point)

Question

Responses

−4k−11
negative 4 k minus 11

−6k−18
negative 6 k minus 18

−4k−5
negative 4 k minus 5

8k−11

Answer 1

To subtract \( 2(k - 4) - 3(2k - 1) \), we need to distribute the coefficients first.

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

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

Now we can combine these results: \[ 2(k - 4) - 3(2k - 1) = (2k - 8) + (-6k + 3) \]

Now simplify by combining like terms: \[ 2k - 6k - 8 + 3 = -4k - 5 \]

So, the final result is: \[ \boxed{-4k - 5} \]