Question

How do you solve `6n - 4 = n + 11`?

Answer 1

See the entire solution process below:

Explanation:

First, add and subtract the necessary terms from each side of the equation to isolate the `n` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`6n - 4 + color(red)(4) - color(blue)(n) = n + 11 + color(red)(4) - color(blue)(n)`

`6n - color(blue)(n) - 4 + color(red)(4) = n - color(blue)(n) + 11 + color(red)(4)`

`(6 - 1)n - 0 = 0 + 15`

`5n = 15`

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

`(5n)/color(red)(5) = 15/color(red)(5)`

`(color(red)(cancel(color(black)(5)))n)/cancel(color(red)(5)) = 3`

`n = 3`