7(3n+2)=8(5n+6)+2

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Solution for 7(3n+2)=8(5n+6)+2 equation: 



7(3n+2)=8(5n+6)+2

We move all terms to the left:

7(3n+2)-(8(5n+6)+2)=0

We multiply parentheses

21n-(8(5n+6)+2)+14=0



We calculate terms in parentheses: -(8(5n+6)+2), so:

8(5n+6)+2

We multiply parentheses

40n+48+2

We add all the numbers together, and all the variables

40n+50

Back to the equation:

-(40n+50)



We get rid of parentheses

21n-40n-50+14=0

We add all the numbers together, and all the variables

-19n-36=0

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

-19n=36

n=36/-19

n=-1+17/19

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