6(3n+1)=6(6n+6)+1

Solution for 6(3n+1)=6(6n+6)+1 equation:

6(3n+1)=6(6n+6)+1

We move all terms to the left:

6(3n+1)-(6(6n+6)+1)=0

We multiply parentheses

18n-(6(6n+6)+1)+6=0


We calculate terms in parentheses: -(6(6n+6)+1), so:

6(6n+6)+1

We multiply parentheses

36n+36+1

We add all the numbers together, and all the variables

36n+37

Back to the equation:

-(36n+37)


We get rid of parentheses

18n-36n-37+6=0

We add all the numbers together, and all the variables

-18n-31=0

We move all terms containing n to the left, all other terms to the right

-18n=31

n=31/-18

n=-1+13/18