Question

How do you solve `-8( 6k - 6) = 432`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the terms on the left side of the equation by multiplying each term inside the parenthesis by the term outside the parenthesis:

`color(red)(-8)(6k - 6) = 432`

`(color(red)(-8) xx 6k) - (color(red)(-8) xx 6) = 432`

`-48k - (-48) = 432`

`-48k + 48 = 432`

Next, subtract `color(red)(48)` from each side of the equation to isolate the `k` term while keeping the equation balanced:

`-48k + 48 - color(red)(48) = 432 - color(red)(48)`

`-48k + 0 = 384`

`-48k = 384`

Now, divide each side of the equation by `color(red)(-48)` to solve for `k` while keeping the equation balanced:

`(-48k)/color(red)(-48) = 384/color(red)(-48)`

`(color(red)(cancel(color(black)(-48)))k)/cancel(color(red)(-48)) = -8`

`k = -8`