Physics - Unit Conversion

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I am trying to calculate heat transfer between two objects. The units are as follows:

mass: grams
specific heat: cal/gm degree celsius
temperature: degree celcius

My numbers aren't working out and I know how to do the problem. So, what's the deal with the gm. Is that gram mass or another abbreviation for gram? Either way, gram mass for a solid or liquid is the same as grams??

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