Given the expression 3(n-2) = 6
First, we need to get the value of 'n' from this equation:
[tex]\begin{gathered} 3(n-2)=6 \\ 3n-6=6 \\ 3n=6+6 \\ 3n=12 \\ n=\frac{12}{3} \\ n=4 \end{gathered}[/tex]Next is to get the value of the expression n-2/n+2.
Substitute n = 4 into the expression we are looking for as shown:
[tex]\begin{gathered} \frac{n-2}{n+2}=\frac{4-2}{4+2} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}[/tex]This shows that the value of n-2/n+2 is 1/3