(a-1)(b-1)(c-1) = 2(a+b+c), find all positive integer triples

HLN_Rubi

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(a-1)(b-1)(c-1) = 2(a+b+c), find all positive integer solutions

6th former just started a level maths not sure how to do this i need help. sorry if this is in the wrong forum i have no idea what category this problem falls under
 
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