3(n-4)=5(n+6)

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Solution for 3(n-4)=5(n+6) equation: 



3(n-4)=5(n+6)

We move all terms to the left:

3(n-4)-(5(n+6))=0

We multiply parentheses

3n-(5(n+6))-12=0



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

5(n+6)

We multiply parentheses

5n+30

Back to the equation:

-(5n+30)



We get rid of parentheses

3n-5n-30-12=0

We add all the numbers together, and all the variables

-2n-42=0

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

-2n=42

n=42/-2

n=-21

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