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7(1+3n)=-38+6n
We move all terms to the left:
7(1+3n)-(-38+6n)=0
We add all the numbers together, and all the variables
7(3n+1)-(6n-38)=0
We multiply parentheses
21n-(6n-38)+7=0
We get rid of parentheses
21n-6n+38+7=0
We add all the numbers together, and all the variables
15n+45=0
We move all terms containing n to the left, all other terms to the right
15n=-45
n=-45/15
n=-3
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