4(3n-7)+3=-3(-2n+8)

Solution for 4(3n-7)+3=-3(-2n+8) equation:

4(3n-7)+3=-3(-2n+8)

We simplify the equation to the form, which is simple to understand 
4(3n-7)+3=-3(-2n+8)

Reorder the terms in parentheses
+(+12n-28)+3=-3*(-2n+8)

Remove unnecessary parentheses
+12n-28+3=-3+*(-2n+8+)

Reorder the terms in parentheses
+12n-28+3=+(+6n-24)

Remove unnecessary parentheses
+12n-28+3=+6n-24

We move all terms containing n to the left and all other terms to the right. 
+12n-6n=-24+28-3

We simplify left and right side of the equation. 
+6n=+1

We divide both sides of the equation by 6 to get n. 
n=0.166666666667