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I had one of those machines in university too and had the same stained/cracked palmrests. That said, I also paid for extended AppleCare and had the whole top case swapped for free multiple times throughout the three years that the coverage lasted.
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When I was a broke student I would buy MacBooks with broken palm rests for a discounted price, drop them off at Apple for a free repair (under extended warranty) and flip them for a profit. Three hours of my time turned into €100 profit. Minimum wage was €6/hour back then.

Did the same years later buying up first gen iPod Nano and trading them in for sixth gen because of the battery recall.

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