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

Answer 1

The expression you've provided is algebraic, and it can be simplified by first distributing the constants −2 and −3 across the terms in the parentheses and then combining like terms.

Given expression: 2(k - 4) - 3(2k - 1)

Step 1: Distribute the −2 and −3 into the parentheses:

= 2 * k - 2 * 4 - 3 * 2k + 3 * 1

= 2k - 8 - 6k + 3

Step 2: Combine like terms (terms that have the same variable to the same power, e.g., 2k and −6k):

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

= -4k - 5

So, the simplified form of the expression 2(k - 4) - 3(2k - 1) is -4k - 5.