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In a unity-gain feedback control system, the plant

$$P(s) = \frac{0.001}{s(2s+1)(0.01s+1)}$$

is controlled by a lag compensator

$$C(s) = \frac{s+10}{s+0.1}$$

The slope $(\text{in dB/decade})$ of the asymptotic Bode magnitude plot of the loop gain at $\omega = 3 \; \text{rad/s}$ is _________ (in integer)

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