Question

How do you solve `4/3(7-n)=12`?

Answer 1

See the entire solution process below:

Explanation:

First step, multiply each side of the equation by `color(red)(3)/color(blue)(4)` to eliminate the coefficient to the term in parenthesis and to keep the equation balanced:

`color(red)(3)/color(blue)(4) xx 4/3(7 - n) = color(red)(3)/color(blue)(4) xx 12`

`cancel(color(red)(3))/cancel(color(blue)(4)) xx color(blue)(cancel(color(black)(4)))/color(red)(cancel(color(black)(3)))(7 - n) = 36/4`

`7 - n = 9`

Next, subtract `color(red)(7)` from each side of the equation to isolate the `n` term while keeping the equation balanced:

`0 - n = 2`

`-n = 2`

Now, we can multiply each side of the equation by `color(red)(-1)` to solve for `n` while keeping the equation balanced:

`color(red)(-1) xx -n = color(red)(-1) xx 2`

`n = -2`