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U = -50 cm
m = -1

m=- \frac{v}{u} \\ \Rightarrow -1=- \frac{v}{-50} \\ \Rightarrow v=-50\ cm

Since v= -50cm, the image is formed exactly at the same position as object. so the distance between them is 0. or mathematically, distance between image and object is given by

v - u = -50 - (-50) = -50 + 50 = 0