Question

How do you solve `-4.2n-6.5=-14.06`?

Answer 1

`n=1.8`

Explanation:

Solve:

`-4.2n-6.5=-14.06`

Add `6.5` to both sides.

`-4.2n-6.5+6.5=-14.06+6.5`

Simplify.

`-4.2n-0=-7.56`

`-4.2n=-7.56`

Divide both sides by `-4.2`.

`(color(red)cancel(color(black)(-4.2))^1n)/(color(red)cancel(color(black)(-4.2))^1)=(-7.56)/(-4.2)`

Simplify.

`n=(-7.56)/(-4.2)`

`n=1.8`

Answer 2

See a solution process below:

Explanation:

First, add `color(red)(6.5)` to each side of the equation to isolate the `n` term while keeping the equation balanced:

`-4.2n - 6.5 + color(red)(6.5) = -14.06 + color(red)(6.5)`

`-4.2n - 0 = -7.56`

`-4.2n = -7.56`

Now, divide each side of the equation by `color(red)(-4.2)` to solve for `n` while keeping the equation balanced:

`(-4.2n)/color(red)(-4.2) = (-7.56)/color(red)(-4.2)`

`(color(red)(cancel(color(black)(-4.2)))n)/cancel(color(red)(-4.2)) = 1.8`

`n = 1.8`