-6+2(8n+7)=-4(3n+9)+1

Solution for -6+2(8n+7)=-4(3n+9)+1 equation:

-6+2(8n+7)=-4(3n+9)+1

We simplify the equation to the form, which is simple to understand 
-6+2(8n+7)=-4(3n+9)+1

Reorder the terms in parentheses
-6+(+16n+14)=-4*(3n+9)+1

Remove unnecessary parentheses
-6+16n+14=-4+*(+3n+9+)+1

Reorder the terms in parentheses
-6+16n+14=+(-12n-36)+1

Remove unnecessary parentheses
-6+16n+14=-12n-36+1

We move all terms containing n to the left and all other terms to the right. 
+16n+12n=-36+1+6-14

We simplify left and right side of the equation. 
+28n=-43

We divide both sides of the equation by 28 to get n. 
n=-1.53571428571