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If the distance of the point $(1, -2, 3)$ from the plane $x + 2y - 3z + 10 = 0$ measured parallel to the line, $\frac{x - 1}{3} = \frac{2 - y}{m} = \frac{z + 3}{1}$ is $\sqrt{\frac{7}{2}}$, then the value of $|m|$ is equal to ______.
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