Subtract: 2(k-4)-3(2k-1)

Answer 1

To subtract 2(k-4) - 3(2k-1), we need to distribute the terms inside the parentheses first.

For the first term, we have:

2(k-4) = 2k - 8

For the second term, we have:

3(2k-1) = 6k - 3

Now we can subtract the two terms:

(2k - 8) - (6k - 3)

To subtract, we can distribute the negative sign to all the terms inside the parentheses:

2k - 8 - 6k + 3

Now we can combine like terms:

(2k - 6k) + (-8 + 3) = -4k - 5

Therefore, the simplified expression is -4k - 5.