5(5n+4)=8(7+3n)-2n

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Solution for 5(5n+4)=8(7+3n)-2n equation: 



5(5n+4)=8(7+3n)-2n

We move all terms to the left:

5(5n+4)-(8(7+3n)-2n)=0

We add all the numbers together, and all the variables

5(5n+4)-(8(3n+7)-2n)=0

We multiply parentheses

25n-(8(3n+7)-2n)+20=0



We calculate terms in parentheses: -(8(3n+7)-2n), so:

8(3n+7)-2n

We add all the numbers together, and all the variables

-2n+8(3n+7)

We multiply parentheses

-2n+24n+56

We add all the numbers together, and all the variables

22n+56

Back to the equation:

-(22n+56)



We get rid of parentheses

25n-22n-56+20=0

We add all the numbers together, and all the variables

3n-36=0

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

3n=36

n=36/3

n=12

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