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I know this topic has been discussed countless times before but I could not find an answer to my specific query.

I am struggling to understand why acceleration due to gravity is constant for all masses on Earth.

Newton's 2nd law says that the acceleration of a body is prop. to the influencing force (gravity in this case) and inversely prop. to it's mass:

a = F/m

Therefore why isn't it that a body with twice the mass has half the acceleration?

Could someone also provide an example (proving accel. due to gravity is constant) with real values, as this usually helps me with understanding.

Thanks in advance.