[tex]\bold{Answer}[/tex]
[tex]\boxed{\bold{N \ = \ -2}}[/tex]
[tex]\bold{Explanation}[/tex]
- [tex]\bold{Solve: \ 3n+2\left(n+2\right)=9n+12}[/tex]
[tex]\bold{--------------------------}[/tex]
- [tex]\bold{Expand \ 2\left(n+2\right): \ 2n+4}[/tex]
[tex]\bold{3n+2n+4=9n+12}[/tex]
- [tex]\bold{Add \ Similar \ Elements: \ 3n+2n=5n}[/tex]
[tex]\bold{5n+4=9n+12}[/tex]
- [tex]\bold{Subtract \ 4 \ From \ Both \ Sides}[/tex]
[tex]\bold{5n+4-4=9n+12-4}[/tex]
- [tex]\bold{Simplify}[/tex]
[tex]\bold{5n=9n+8}[/tex]
- [tex]\bold{Subtract \ 9n \ From \ Both \ Sides}[/tex]
[tex]\bold{5n-9n=9n+8-9n}[/tex]
- [tex]\bold{Simplify}[/tex]
[tex]\bold{-4n=8}[/tex]
- [tex]\bold{Divide \ Both \ Sides \ By \ -4}[/tex]
[tex]\bold{\frac{-4n}{-4}=\frac{8}{-4}}[/tex]
- [tex]\bold{Simplify}[/tex]
[tex]\bold{N \ = \ -2}[/tex]
[tex]\boxed{\bold{Eclipsed}}[/tex]
