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I think I don't get it yet. The weight depends of mass, but at the same time depends of gravity, so if mass increase, the weight so does. But if we're on Earth we know that"g" has a value, therefore that "g" could be the constant in this equation that represents the relation: w=m⋅g, Is that the reason why the relationship between this two magnitudes is constant and proportional?

I hope I have explained myself well.