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Forward voltage, is there any power consumed? Answered

I don't understand the "voltage drop". Because as it is said it is like no power is consumed. Is that right? A resistance consumes power by transforming it into heat. What happens with that "voltage drop"? How variables (watts, current) change?
Because what I see, if current keeps the same watts will drop, so that probably would mean a power consumption, wouldn't it?
If watts keep the same, current has to go up. Not sure what this would mean...