Question

Is -7(k - 2 + 3k - 4) and 28k - 42 equivalent

Answer 1

No, they are not equivalent.

Explanation:

-7(k - 2 + 3k - 4) = 28k - 42

-7k + 14 - 21k + 28 = 28k - 42

-28k + 42 = 28k - 42

No, they are not equivalent.

Answer 2

No

Explanation:

Let's simplify the expression -7(k - 2 + 3k - 4) and see if it is equivalent to 28k - 42.

-7(k - 2 + 3k - 4) = -7(4k - 6) // combine like terms inside the parentheses

= -28k + 42 // distribute the -7 to the terms inside the parentheses and simplify

Now we can see that -7(k - 2 + 3k - 4) is equivalent to -28k + 42, not 28k - 42.