make denomenators the same
common denom is 2n²
multiply 3/2n by n/n
mulitply 1/n² by 2/2
we get
[tex] \frac{3n}{2n^2}+\frac{2}{2n^2}=\frac{n-2}{2n^2} [/tex]
combine fractions
[tex] \frac{3n+2}{2n^2}=\frac{n-2}{2n^2} [/tex]
multiply both sides by 2n²
2n+2=n-2
minus n both sides
n+2=-2
minus 2 both sides
n=-4