Question

How do you solve `4n + 3= - 1`?

Answer 1

`n=-1`

Explanation:

Given
`color(white)("XXX")4n+3=-1`

If we subtract the same amount form both sides of an equality, the equality is maintained.
In this case we will subtract `3` from both sides so that we have the variable term on one side and only a constant on the other:
`color(white)("XXX")4n+3color(red)(-3)=-1color(red)(-3)`

`color(white)("XXX")rarr 4n=-4`

If we divide both sides of an equality by the same (non-zero) amount, the equality is also maintained.
In this case we will divide both sides by `4`
`color(white)("XXX")(4n)/color(red)4=(-4)/color(red)(4)`

`color(white)("XXX")rarr n=-1`