How do you solve 8-3/8k=-4?

2 Answers
Feb 16, 2017

k=32

Explanation:

8-3/8k=-4

or

3/8k=8+4

or

3/8k=12

or

k=12times8/3

or

k=32

Feb 16, 2017

See the entire solution process below:

Explanation:

Step 1) Subtract color(red)(8) from each side of the equation to isolate the k term while keeping the equation balanced:

-color(red)(8) + 8 - 3/8k = -color(red)(8) - 4

0 - 3/8k = -12

-3/8k = -12

Step 2) Multiply each side of the equation by -color(red)(8)/color(blue)(3) to solve for k while keeping the equation balanced:

-color(red)(8)/color(blue)(3) xx -3/8k = -color(red)(8)/color(blue)(3) xx -12

-cancel(color(red)(8))/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))k = -color(red)(8)/color(blue)(3) xx -(3 xx 4)

k = -color(red)(8)/cancel(color(blue)(3)) xx -(color(blue)(cancel(color(black)(3))) xx 4)

k = 32