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Simplifying (u + z) = (1 + -3i) + (-3 + 2i) Remove parenthesis around (u + z) u + z = (1 + -3i) + (-3 + 2i) Remove parenthesis around (1 + -3i) u + z = 1 + -3i + (-3 + 2i) Remove parenthesis around (-3 + 2i) u + z = 1 + -3i + -3 + 2i Reorder the terms: u + z = 1 + -3 + -3i + 2i Combine like terms: 1 + -3 = -2 u + z = -2 + -3i + 2i Combine like terms: -3i + 2i = -1i u + z = -2 + -1i Solving u + z = -2 + -1i Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1z' to each side of the equation. u + z + -1z = -2 + -1i + -1z Combine like terms: z + -1z = 0 u + 0 = -2 + -1i + -1z u = -2 + -1i + -1z Simplifying u = -2 + -1i + -1z
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