6(n-2)-3n-1=8(5n+1)-10n

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Solution for 6(n-2)-3n-1=8(5n+1)-10n equation:



6(n-2)-3n-1=8(5n+1)-10n
We move all terms to the left:
6(n-2)-3n-1-(8(5n+1)-10n)=0
We add all the numbers together, and all the variables
-3n+6(n-2)-(8(5n+1)-10n)-1=0
We multiply parentheses
-3n+6n-(8(5n+1)-10n)-12-1=0
We calculate terms in parentheses: -(8(5n+1)-10n), so:
8(5n+1)-10n
We add all the numbers together, and all the variables
-10n+8(5n+1)
We multiply parentheses
-10n+40n+8
We add all the numbers together, and all the variables
30n+8
Back to the equation:
-(30n+8)
We add all the numbers together, and all the variables
3n-(30n+8)-13=0
We get rid of parentheses
3n-30n-8-13=0
We add all the numbers together, and all the variables
-27n-21=0
We move all terms containing n to the left, all other terms to the right
-27n=21
n=21/-27
n=-7/9

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