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

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



5(n+3)-1=4(n-1)+7n
We move all terms to the left:
5(n+3)-1-(4(n-1)+7n)=0
We multiply parentheses
5n-(4(n-1)+7n)+15-1=0
We calculate terms in parentheses: -(4(n-1)+7n), so:
4(n-1)+7n
We add all the numbers together, and all the variables
7n+4(n-1)
We multiply parentheses
7n+4n-4
We add all the numbers together, and all the variables
11n-4
Back to the equation:
-(11n-4)
We add all the numbers together, and all the variables
5n-(11n-4)+14=0
We get rid of parentheses
5n-11n+4+14=0
We add all the numbers together, and all the variables
-6n+18=0
We move all terms containing n to the left, all other terms to the right
-6n=-18
n=-18/-6
n=+3

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