Contracting Tensors: Multiply by g^αρgασ?

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When contracting [itex]R^{\sigma}_{ \mbox{ }\mu\nu\rho}[/itex] to [itex]R_{\mu\nu}[/itex]

Should one multiply by [itex]g^{\alpha\rho}g_{\alpha\sigma}[/itex]? I often get confused with ordering of indices and such like
 
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there was no real answer, ignore the ricci tensor i just mean in general then, I don't really understand the order in which the indices should go, if it even matters at all.