3(4n+14)=10n-2(n-7)

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Solution for 3(4n+14)=10n-2(n-7) equation: 



3(4n+14)=10n-2(n-7)

We move all terms to the left:

3(4n+14)-(10n-2(n-7))=0

We multiply parentheses

12n-(10n-2(n-7))+42=0



We calculate terms in parentheses: -(10n-2(n-7)), so:

10n-2(n-7)

We multiply parentheses

10n-2n+14

We add all the numbers together, and all the variables

8n+14

Back to the equation:

-(8n+14)



We get rid of parentheses

12n-8n-14+42=0

We add all the numbers together, and all the variables

4n+28=0

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

4n=-28

n=-28/4

n=-7

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