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Integrate g(x,y,z) = x + y + z over the portion of the plane 2x + 2y + z= 10 that lies in the first

Integrate g(x,y,z) = x + y + z over the portion of the plane 2x + 2y + z= 10 that lies in the first octant. The value of the integral is (Simplify your answer. Type an exact answer.)

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