11(n-2)=-10(n+10)

Solution for 11(n-2)=-10(n+10) equation:

11(n-2)=-10(n+10)

We simplify the equation to the form, which is simple to understand 
11(n-2)=-10(n+10)

Reorder the terms in parentheses
+(+11n-22)=-10*(n+10)

Remove unnecessary parentheses
+11n-22=-10+*(+n+10+)

Reorder the terms in parentheses
+11n-22=+(-10n-100)

Remove unnecessary parentheses
+11n-22=-10n-100

We move all terms containing n to the left and all other terms to the right. 
+11n+10n=-100+22

We simplify left and right side of the equation. 
+21n=-78

We divide both sides of the equation by 21 to get n. 
n=-3.71428571429