5(3n+3)=2(5n-3)+6n

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Solution for 5(3n+3)=2(5n-3)+6n equation: 



5(3n+3)=2(5n-3)+6n

We move all terms to the left:

5(3n+3)-(2(5n-3)+6n)=0

We multiply parentheses

15n-(2(5n-3)+6n)+15=0



We calculate terms in parentheses: -(2(5n-3)+6n), so:

2(5n-3)+6n

We add all the numbers together, and all the variables

6n+2(5n-3)

We multiply parentheses

6n+10n-6

We add all the numbers together, and all the variables

16n-6

Back to the equation:

-(16n-6)



We get rid of parentheses

15n-16n+6+15=0

We add all the numbers together, and all the variables

-1n+21=0

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

-n=-21

n=-21/-1

n=+21

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