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3Ni(NO3)2(aq) + 2Na3PO4(aq) --> 6NaNO3(aq) + Ni3(PO4)2(s)

This is a double replacement reaction in which the positive and negative ions of the reactants trade partners, in this case resulting in a precipitate (solid). In order to determine whether a precipitate will form from two aqueous solutions, you need to refer to a solubility table.
http://malaxoschemistry.wikispaces.com/Solubility+Table

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