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

1 Answer
Mar 13, 2017

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