6(3n+1)=7(7n+6)+9

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Solution for 6(3n+1)=7(7n+6)+9 equation: 



6(3n+1)=7(7n+6)+9

We move all terms to the left:

6(3n+1)-(7(7n+6)+9)=0

We multiply parentheses

18n-(7(7n+6)+9)+6=0



We calculate terms in parentheses: -(7(7n+6)+9), so:

7(7n+6)+9

We multiply parentheses

49n+42+9

We add all the numbers together, and all the variables

49n+51

Back to the equation:

-(49n+51)



We get rid of parentheses

18n-49n-51+6=0

We add all the numbers together, and all the variables

-31n-45=0

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

-31n=45

n=45/-31

n=-1+14/31

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