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I believe it is possible to have many fast steps before the slow step, as long as there is a fast step preceding the slow step, which will result in the accumulation of product during this fast step and create equilibrium.
There must be a fast step preceding the slow step because the slow step is the rate determining step. Therefore an accumulation of intermediates results in the first step being at equilibrium. The first step must be fastest in order to have this accumulation of intermediates and equilibrium.
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