Question

How do you solve `8k - 3( k - 5) = 45`?

Answer 1

See a solution process below:

Explanation:

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

`8k - color(red)(3)(k - 5) = 45`

`8k - (color(red)(3) xx k) - (color(red)(3) xx -5) = 45`

`8k - 3k - (-15) = 45`

`8k - 3k + 15 = 45`

`(8 - 3)k + 15 = 45`

`5k + 15 = 45`

Next, subtract `color(red)(15)` from each side of the equation to isolate the `k` term while keeping the equation balanced:

`5k + 15 - color(red)(15) = 45 - color(red)(15)`

`5k + 0 = 30`

`5k = 30`

Now, divide each side of the equation by `color(red)(5)` to solve for `k` while keeping the equation balanced:

`(5k)/color(red)(5) = 30/color(red)(5)`

`(color(red)(cancel(color(black)(5)))k)/cancel(color(red)(5)) = 6`

`k = 6`