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"Amount of matter" is an informal description for mass. The relationship between mass and weight is:

weight = mass x gravity

The same mass can weigh more or less, depending on the strength of the gravitational field. For example, an object with a mass of 1 kg on Earth will also have a mass of 1 kg on the Moon. However, on Earth it would weigh 9.8 newton; on the Moon, about 6 times less.

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