Subtract: 2(k−4)−3(2k−1) .(1 point)
To subtract this expression, we distribute the coefficients to each term:
2(k−4)−3(2k−1) = 2k - 8 - 6k + 3
Combine like terms:
2k - 8 - 6k + 3 = (2k - 6k) - (8 - 3)
Simplify:
(2k - 6k) - (8 - 3) = -4k - 5
Therefore, the result is -4k - 5.
To subtract 2(k−4)−3(2k−1), we need to distribute the numbers outside the parentheses to the terms inside the parentheses. So:
2(k−4)−3(2k−1)
= 2k - 8 - 6k + 3
Next, we can combine like terms:
= (2k - 6k) + (-8 + 3)
= -4k - 5
Therefore, 2(k−4)−3(2k−1) simplifies to -4k - 5.
To subtract the expression 2(k-4) - 3(2k-1), we can simplify it step by step:
Step 1: Distribute the coefficients outside the brackets to the terms inside the brackets.
2(k-4) - 3(2k-1) becomes 2k - 8 - 6k + 3.
Step 2: Combine any like terms by adding or subtracting coefficients of the same variable.
In our expression, we have 2k and -6k, which are like terms. Combining them, we get -4k. And we also have -8 and +3, which are like terms. Adding them, we get -5.
So, the simplified expression is -4k - 5.