ordered pairs (x,y,z,w)

\hspace{-16}$If $\bf{\begin{Vmatrix} \bold{x^3+2=3y}\\\\ \bold{y^3+2=3z}\\\\ \bold{z^3+2=2w} \\\\ \bold{w^3+2=3x} \end{Vmatrix}}$\\\\\\ Then no. of Real ordered pairs of $\bf{(x,y,z,w)}$ is

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