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< you might end up earning less after tax as a manager than you did as an engineer as your salary increase puts you in a new tax bracket

That's not how progressive taxation and the tax brackets work. In reality you pay higher tax rate only on the amount above the threshold. So if, say, the tax rate is 20% on the income up to $10000 and 30% above it then if you earn $30000 you pay 20% on the $10000 and 30% only on the remaining $20000. You don't pay 30% on the whole $30000. Why is this misconception is so common?

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