6(3n+1)=9(5n+1)+1

Solution for 6(3n+1)=9(5n+1)+1 equation:

6(3n+1)=9(5n+1)+1

We move all terms to the left:

6(3n+1)-(9(5n+1)+1)=0

We multiply parentheses

18n-(9(5n+1)+1)+6=0


We calculate terms in parentheses: -(9(5n+1)+1), so:

9(5n+1)+1

We multiply parentheses

45n+9+1

We add all the numbers together, and all the variables

45n+10

Back to the equation:

-(45n+10)


We get rid of parentheses

18n-45n-10+6=0

We add all the numbers together, and all the variables

-27n-4=0

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

-27n=4

n=4/-27

n=-4/27