mathematically express the acceleration due to gravity that is expressed by a free falling object?

g=a
F=ma
ma=GMm/r^2(F=ma)
m and m gets cancelled
= a=GM/r^2
g=Gm/r^2(g=a)

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g =GM/R^2
where g is universal gravitation constant
m is mass
r is radius
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explain brifly?
 
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