Question

How do you solve for n in `2n - 4m = 8`?

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(4m)` to each side of the equation to isolate the `n` term while keeping the equation balanced:

`2n - 4m + color(red)(4m) = 8 + color(red)(4m)`

`2n - 0 = 8 + 4m`

`2n = 8 + 4m`

Now, divide by `color(red)(2)` to solve for `n` while keeping the equation balanced:

`(2n)/color(red)(2) = (8 + 4m)/color(red)(2)`

`(color(red)(cancel(color(black)(2)))n)/cancel(color(red)(2)) = 8/color(red)(2) + (4m)/color(red)(2)`

`n = 4 + 2m`

Answer 2

`n=2(m+2)`

Explanation:

Add `4m` to both sides

`2n=8+4m`

Divide both sides by `2`

`n=4+2m`

Take a factor of `2` out of `4m+2`

`n=2(2+m)`