Question

How do you solve `-100= 4( 7+ 4n )`?

Answer 1

See a solution process below:

Explanation:

First, divide each side of the equation by `color(red)(4)` to eliminate the parenthesis while keeping the equation balanced:

`-100/color(red)(4) = (4(7 + 4n))/color(red)(4)`

`-25 = (color(red)(cancel(color(black)(4)))(7 + 4n))/cancel(color(red)(4))`

`-25 = 7 + 4n`

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

`-color(red)(7) - 25 = -color(red)(7) + 7 + 4n`

`-32 = 0 + 4n`

`-32 = 4n`

Now, divide each side of the equation by `color(red)(4)` to solve for `n` while keeping he equation balanced:

`-32/color(red)(4) = (4n)/color(red)(4)`

`-8 = (color(red)(cancel(color(black)(4)))n)/cancel(color(red)(4))`

`-8 = n`

`n = -8`