Not all dwarves were aligned with the "good" forces (HoME 12). I suspect representatives of the dwarves of the Blue and Iron Mountains may have done their part (which would cover 3 or 4 of the dwarven (dwarvish?) lines. JRRT's discussions of the Last Alliance are simply not detailed enough to resolve your question.
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Beleriand, Beleriand,
the borders of the Elven-land.
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