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Step1: Apply distributive property
$(n-7)(3n+1) = n(3n+1) -7(3n+1)$
Step2: Expand each term
$= 3n^2 + n -21n -7$
Step3: Combine like terms
$= 3n^2 + (n-21n) -7$
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$3n^2 -20n -7$