Question

How do you solve `n + 15 = -35`?

Answer 1

`n=50`

Explanation:

`color(blue)("Introduction to method of manipulation")`
An equation is all about maintaining the truth of a relationship otherwise know as balancing an equation.

Suppose I wrote: `6=6`

This is true (balanced). Now suppose I subtract 2 from only the left hand side. It would then be `color(red)("False")` to write: `color(red)(6-2=6)`

However, if I instead I write: `color(green)(6-2=6-2)` it is then `color(green)("True")`

`color(magenta)("What yo do to one side of an equation you do to the other maintain TRUTH")`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Solving your question")`

Given:`color(white)(..)color(brown)(n+15=-35)`

subtract `color(blue)(15)` from both sides

`color(brown)(n+15color(blue)(-15) =-35color(blue)(-15))`

`n+0=-50`

`n=50`