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(x + 2y - z) + (2x - y + 3z)
= (x + 2x) + (2y - y) + (-z + 3z)
= 3x + y + 2z
(x + 2y - z) - (2x - y + 3z)
= x + 2y - z - 2x + y - 3z
= (x - 2x) + (2y + y) + (-z - 3z)
= -x + 3y - 4z
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