2(4n+2)=3(5n-4)+1n

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Solution for 2(4n+2)=3(5n-4)+1n equation: 



2(4n+2)=3(5n-4)+1n

We move all terms to the left:

2(4n+2)-(3(5n-4)+1n)=0

We multiply parentheses

8n-(3(5n-4)+1n)+4=0



We calculate terms in parentheses: -(3(5n-4)+1n), so:

3(5n-4)+1n

We add all the numbers together, and all the variables

n+3(5n-4)

We multiply parentheses

n+15n-12

We add all the numbers together, and all the variables

16n-12

Back to the equation:

-(16n-12)



We get rid of parentheses

8n-16n+12+4=0

We add all the numbers together, and all the variables

-8n+16=0

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

-8n=-16

n=-16/-8

n=+2

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