-7(-2u+3)-3u=3(u-9)-6

Solution for -7(-2u+3)-3u=3(u-9)-6 equation:

-7(-2u+3)-3u=3(u-9)-6

We simplify the equation to the form, which is simple to understand 
-7(-2u+3)-3u=3(u-9)-6

Reorder the terms in parentheses
+(+14u-21)-3u=3*(u-9)-6

Remove unnecessary parentheses
+14u-21-3u=+3+*(+u-9+)-6

Reorder the terms in parentheses
+14u-21-3u=+(+3u-27)-6

Remove unnecessary parentheses
+14u-21-3u=+3u-27-6

We move all terms containing u to the left and all other terms to the right. 
+14u-3u-3u=-27-6+21

We simplify left and right side of the equation. 
+8u=-12

We divide both sides of the equation by 8 to get u. 
u=-1.5