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This is the equation I need to use for the problem

1/object-mirror distance + 1/image-mirror distance= 1/mirror"s focal lenth to solve for image-mirror distance

This is how I solved for the problem

1/image-mirror distance = 1/5.5 - 1/19.5 = .1305361305 then I have to find the reciprocal which is 1/.1305361305 = 7.660714288 or 7.66cm

Have I solved this correctly?