Question

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

Answer 1

`k=32`

Explanation:

`8-3/8k=-4`

or

`3/8k=8+4`

or

`3/8k=12`

or

`k=12times8/3`

or

`k=32`

Answer 2

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`