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Let a,b,c be such that b(a+c) ne 0. If ...

Let a,b,c be such that b(a+c) `ne ` 0. If
`|{:(a,a+1,a-1),(-b,b+1,b-1),(c,c-1,c+1):}|+|{:(a+1,b+1,c-1),(a-1,b-1,c+1),((-1)^(n+2)a,(-1)^(n+1)b,(-1)^(n)c):}|`=0 then the value of n is

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