The expressions -4(2k - 6) - 4k and -4k are not equivalent. The simplified form of -4(2k - 6) - 4k is -12k + 24, which is different from -4k.
To determine if the two expressions -4(2k - 6) - 4k are equivalent, we can simplify both expressions and compare the results.
First, let's simplify the expression -4(2k - 6) - 4k step by step:
1. Distribute the -4 to both terms inside the parentheses:
-4 * 2k + (-4) * (-6) - 4k
2. Simplify the terms:
-8k + 24 - 4k
3. Combine like terms:
-12k + 24
Now, let's simplify the expression -4k:
Both expressions simplified are:
-4(2k - 6) - 4k = -12k + 24
-4k
The two expressions are not equivalent because -12k + 24 is not equal to -4k.
The probable question maybe:-
Are the expressions -4(2k - 6) - 4k and -4k equivalent ?