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

Let's simplify the expression \( 2(k - 4) - 3(2k - 1) \).

First, distribute the constants into the parentheses:

1. \( 2(k - 4) = 2k - 8 \)
2. \( -3(2k - 1) = -6k + 3 \)

Now, we can combine these results:

\[ 2k - 8 - 6k + 3 \]

Now combine like terms:

• Combine the \( k \) terms: \( 2k - 6k = -4k \)
• Combine the constant terms: \( -8 + 3 = -5 \)

Putting it all together, we get:

\[ -4k - 5 \]

So, the final answer is:

\(-4k - 5\)