Question

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

Answer 1

To subtract \(2(k - 4) - 3(2k - 1)\), you need to use the distributive property to expand both expressions and then combine like terms.

First, distribute the 2 in the first expression:
\(2(k - 4) = 2 \cdot k - 2 \cdot 4 = 2k - 8\)

Then distribute the 3 in the second expression:
\(3(2k - 1) = 3 \cdot 2k - 3 \cdot 1 = 6k - 3\)

Now, subtract the second expression from the first:
\(2k - 8 - (6k - 3)\)

Apply the subtraction across the parentheses by changing the signs:
\(2k - 8 - 6k + 3\)

Now, combine like terms:
\(2k - 6k = -4k\)
\(-8 + 3 = -5\)

So, the final simplified expression is:
\(-4k - 5\)