Subtract
2(k - 4) - 3(2k - 1)
First, distribute the 2 and the 3:
2(k - 4) - 3(2k - 1)
= 2k - 8 - 6k + 3
Next, combine like terms:
= (2k - 6k) + (-8 + 3)
= -4k - 5
The simplified expression is -4k - 5.
To subtract 2(k - 4) - 3(2k - 1), we can distribute the coefficients to the terms inside the parentheses, and then collect like terms.
First, distribute the 2 to the terms inside the first set of parentheses:
2(k - 4) = 2 * k - 2 * 4
= 2k - 8
Next, distribute the 3 to the terms inside the second set of parentheses:
3(2k - 1) = 3 * 2k - 3 * 1
= 6k - 3
Now, we can rewrite the expression with the distributed terms:
2(k - 4) - 3(2k - 1) = 2k - 8 - (6k - 3)
To subtract the expression inside the parentheses, distribute the negative sign:
= 2k - 8 - 6k + 3
Next, combine like terms:
= (2k - 6k) + (-8 + 3)
= -4k - 5
Therefore, 2(k - 4) - 3(2k - 1) simplifies to -4k - 5.
To subtract 2(k - 4) - 3(2k - 1), we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's simplify the expression step by step:
1. Distribute the multiplication:
2(k - 4) becomes 2 * k - 2 * 4 = 2k - 8.
3(2k - 1) becomes 3 * 2k - 3 * 1 = 6k - 3.
So now the expression is: 2k - 8 - 6k + 3.
2. Combine like terms (terms with the same variables):
The terms with 'k' are 2k and 6k. When we subtract 6k from 2k, we get -4k.
The constant terms are -8 and 3. When we add 3 to -8, we get -5.
Now the expression becomes: -4k - 5.
And that's the simplified form of 2(k - 4) - 3(2k - 1).