Unable to make this very easy animation!!

Hi guys! i want to divide this animation to single steps, like unplugging every single part alone, looping then move "next" or "back" to next or previous part but i am just unable to do that with character-like animation methods.

i know theoretically this is supposed to be very easy but when i divided animations and connect them with transitions every step get back to where it starts just before transition to next animation and the 2nd animation.

The model was made in 3dsmax and exported with single animation divided evenly (4 frames for each unplug, 4 frames in-between)

 

Thank you so much for your reply it helped me so much. Here is what I've done after reading your post, and it worked but i get a problem at the first step, not when i start the animation but only when i turn back to initial state from using the PREVİOUS transition

I've got four rows which each one presents a step. Each row or line has two copies of same animation, one for next transition and other for previous. At first all animations on left were Write Default disabled and the ones right were enabled but that didn't give me the result i want but i when i changed only the right top and right bottom to Write Default enabled it worked. In this 4 step rows all the transitions work perfectly only when i get back to initial state. or when i go previous from last step.

And when i moved further to 6 steps things gone perfect if i use the next transition only. And when i use previous it goes OK until 4th step.

Can you please check the file if i upload somewhere and post the link here? because there too many settings that i cant write or explain here. it is really complex :/