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[See Steps] Solve by Gaussian Elimination. Indicate if the system is inconsistent or has an infinite number of solutions.

Question: Solve by Gaussian Elimination. Indicate if the system is inconsistent or has an infinite number of solutions.

\[\begin{array}{r} x+2 y+3 z=-6 \\ 2 x-3 y-4 z=15 \\ 3 x+4 y+5 z=-8 \end{array}\]

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