Why does a heavier object fall with the same acceleration as the lighter object?

Why does a heavier object fall with the same acceleration as the lighter object?
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Because the acceleration due to earth (gravitation) dose not depends on the mass of falling object & it's constant for deferent masses :F= (G M m) / d2 …(1)F = ma = mg ...(2)mg = (G M m) / d2g = (G M) / d2 …(3)Where F is The force of gravity , G is gravity constant , M is the mass of earth , m is the mass of the object , d is the distance between earth & the object , a is acceleration and g is gravitationfrom equation 3 since (G) and (M) are constant it's clear that (g) depends only on the distance (d) between Erath and the object and do not depend on the mass of falling object.
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