-3(4n+2)+2(n-6)=-2(n+1)

Solution for -3(4n+2)+2(n-6)=-2(n+1) equation:

-3(4n+ 2) + 2(n-6) =-2(n+ 1) 

We simplify the equation to the form, which is simple to understand 
-3(4n+2)+2(n-6)=-2(n+1)

Reorder the terms in parentheses
+(-12n-6)+2*(n-6)=-2*(n+1)

Remove unnecessary parentheses
-12n-6+2+*(+n-6+)=-2+*(+n+1+)

Reorder the terms in parentheses
-12n-6+(+2n-12)=-2*(n+1)

Remove unnecessary parentheses
-12n-6+2n-12=-2+*(+n+1+)

Reorder the terms in parentheses
-12n-6+2n-12=+(-2n-2)

Remove unnecessary parentheses
-12n-6+2n-12=-2n-2

We move all terms containing n to the left and all other terms to the right. 
-12n+2n+2n=-2+6+12

We simplify left and right side of the equation. 
-8n=+16

We divide both sides of the equation by -8 to get n. 
n=-2