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7(3n+4)=6(7n+3)+1
We move all terms to the left:
7(3n+4)-(6(7n+3)+1)=0
We multiply parentheses
21n-(6(7n+3)+1)+28=0
We calculate terms in parentheses: -(6(7n+3)+1), so:We get rid of parentheses
6(7n+3)+1
We multiply parentheses
42n+18+1
We add all the numbers together, and all the variables
42n+19
Back to the equation:
-(42n+19)
21n-42n-19+28=0
We add all the numbers together, and all the variables
-21n+9=0
We move all terms containing n to the left, all other terms to the right
-21n=-9
n=-9/-21
n=3/7
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