The cubic equation $f(x) = x^3 - 12 x^2 + 34 x - N$ has roots that are in an Arithmetic Progression. What is the value of $N$?

**Details and assumptions**

3 numbers form an Arithmetic Progression if they are of the form $a, a+d, a+2d$ for some (possibly complex) values $a$ and $d$.

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