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6(10n+7)=582
We move all terms to the left:
6(10n+7)-(582)=0
We multiply parentheses
60n+42-582=0
We add all the numbers together, and all the variables
60n-540=0
We move all terms containing n to the left, all other terms to the right
60n=540
n=540/60
n=9
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