6(1+7m)-9=-3(12m+1)

Solution for 6(1+7m)-9=-3(12m+1) equation:

6(1+7m)-9=-3(12m+1)

We simplify the equation to the form, which is simple to understand 
6(1+7m)-9=-3(12m+1)

Reorder the terms in parentheses
+(+6+42m)-9=-3*(12m+1)

Remove unnecessary parentheses
+6+42m-9=-3+*(+12m+1+)

Reorder the terms in parentheses
+6+42m-9=+(-36m-3)

Remove unnecessary parentheses
+6+42m-9=-36m-3

We move all terms containing m to the left and all other terms to the right. 
+42m+36m=-3-6+9

We simplify left and right side of the equation. 
+78m=0

We divide both sides of the equation by 78 to get m. 
m=0