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

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



6n-(2-5n)=5(3n+2)-8n
We move all terms to the left:
6n-(2-5n)-(5(3n+2)-8n)=0
We add all the numbers together, and all the variables
6n-(-5n+2)-(5(3n+2)-8n)=0
We get rid of parentheses
6n+5n-(5(3n+2)-8n)-2=0
We calculate terms in parentheses: -(5(3n+2)-8n), so:
5(3n+2)-8n
We add all the numbers together, and all the variables
-8n+5(3n+2)
We multiply parentheses
-8n+15n+10
We add all the numbers together, and all the variables
7n+10
Back to the equation:
-(7n+10)
We add all the numbers together, and all the variables
11n-(7n+10)-2=0
We get rid of parentheses
11n-7n-10-2=0
We add all the numbers together, and all the variables
4n-12=0
We move all terms containing n to the left, all other terms to the right
4n=12
n=12/4
n=3

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