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We design and investigate a metasurface for achieving multiband coherent perfect absorption (CPA) in the mid-infrared region. The operating wavelengths and bandwidth of CPA for the metasurface can be precisely tailored through structure design. The coherent absorption of each operating wavelength can be independently modulated by adjusting the phase difference between two coherent waves. Meanwhile, the coherent absorption performance is insensitive to polarized and oblique incident angles. The scalability of our proposed metasurface design can also be extended to other technical wavelength ranges, such as the optical and terahertz regions, and may find a variety of application areas.