7-3(2n-1)=4(5-n)-7n

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Solution for 7-3(2n-1)=4(5-n)-7n equation:



7-3(2n-1)=4(5-n)-7n
We move all terms to the left:
7-3(2n-1)-(4(5-n)-7n)=0
We add all the numbers together, and all the variables
-3(2n-1)-(4(-1n+5)-7n)+7=0
We multiply parentheses
-6n-(4(-1n+5)-7n)+3+7=0
We calculate terms in parentheses: -(4(-1n+5)-7n), so:
4(-1n+5)-7n
We add all the numbers together, and all the variables
-7n+4(-1n+5)
We multiply parentheses
-7n-4n+20
We add all the numbers together, and all the variables
-11n+20
Back to the equation:
-(-11n+20)
We add all the numbers together, and all the variables
-6n-(-11n+20)+10=0
We get rid of parentheses
-6n+11n-20+10=0
We add all the numbers together, and all the variables
5n-10=0
We move all terms containing n to the left, all other terms to the right
5n=10
n=10/5
n=2

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