6(3n+5)=6(7n+7)+1

Solution for 6(3n+5)=6(7n+7)+1 equation:

6(3n+5)=6(7n+7)+1

We move all terms to the left:

6(3n+5)-(6(7n+7)+1)=0

We multiply parentheses

18n-(6(7n+7)+1)+30=0


We calculate terms in parentheses: -(6(7n+7)+1), so:

6(7n+7)+1

We multiply parentheses

42n+42+1

We add all the numbers together, and all the variables

42n+43

Back to the equation:

-(42n+43)


We get rid of parentheses

18n-42n-43+30=0

We add all the numbers together, and all the variables

-24n-13=0

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

-24n=13

n=13/-24

n=-13/24