Subtract: 2(k−4)−3(2k−1) .(1 point)

Question

Responses

−6k−18
negative 6 k minus 18

8k−11
8 k minus 11

−4k−11
negative 4 k minus 11

−4k−5
negative 4 k minus 5

Answer 1

To subtract the expression \(2(k - 4) - 3(2k - 1)\), we will first distribute the constants into the parentheses and then combine like terms.

Step 1: Distribute the constants: \[ 2(k - 4) = 2k - 8 \] \[ -3(2k - 1) = -6k + 3 \]

Step 2: Combine the results: \[ 2(k - 4) - 3(2k - 1) = (2k - 8) + (-6k + 3) = 2k - 8 - 6k + 3 \]

Step 3: Combine like terms: \[ (2k - 6k) + (-8 + 3) = -4k - 5 \]

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

The correct response from your options is: negative 4 k minus 5.