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

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

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

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

Reorder the terms in parentheses
+(-12+9n)=-n-4*(7n+3)

Remove unnecessary parentheses
-12+9n=-n-4+*(+7n+3+)

Reorder the terms in parentheses
-12+9n=-n+(-28n-12)

Remove unnecessary parentheses
-12+9n=-n-28n-12

We move all terms containing n to the left and all other terms to the right. 
+9n+1n+28n=-12+12

We simplify left and right side of the equation. 
+38n=0

We divide both sides of the equation by 38 to get n. 
n=0