3(n-9)=2(n+6)

Solution for 3(n-9)=2(n+6) equation:

3(n-9)=2 (n+6)

We simplify the equation to the form, which is simple to understand 
3(n-9)=2(n+6)

Reorder the terms in parentheses
+(+3n-27)=2*(n+6)

Remove unnecessary parentheses
+3n-27=+2+*(+n+6+)

Reorder the terms in parentheses
+3n-27=+(+2n+12)

Remove unnecessary parentheses
+3n-27=+2n+12

We move all terms containing n to the left and all other terms to the right. 
+3n-2n=+12+27

We simplify left and right side of the equation. 
+1n=+39

We divide both sides of the equation by 1 to get n. 
n=39