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

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

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

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

Reorder the terms in parentheses
+( + 0.2n + 0.8)=.6*(n-1)+.2

Remove unnecessary parentheses
 + 0.2n + 0.8=+.6+*(+n-1+)+.2

Reorder the terms in parentheses
 + 0.2n + 0.8=+( + 0.6n-0.6)+.2

Remove unnecessary parentheses
 + 0.2n + 0.8=0.6n-0.6+.2

We move all terms containing n to the left and all other terms to the right. 
 + 0.2n-0.6n=-0.6 + 0.2-0.8

We simplify left and right side of the equation. 
-0.4n=-1.2

We divide both sides of the equation by -0.4 to get n. 
n=3