Infinite number of stationary distributions for Simple Random Walk with 2 absorbing barriers?

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Question:

For a simple random walk with two absorbing barriers at a and -b, show from first principles that there are an infinite number of stationary distributions which must satisfy πa + π-b = 1 where πi denotes the stationary probability of the i-th state.

I have got up to the following but am unsure how to proceed: Working thus far