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Simplifying (u + -1z) = (5 + 3i) + -1(2 + -1i) Remove parenthesis around (u + -1z) u + -1z = (5 + 3i) + -1(2 + -1i) Remove parenthesis around (5 + 3i) u + -1z = 5 + 3i + -1(2 + -1i) u + -1z = 5 + 3i + (2 * -1 + -1i * -1) u + -1z = 5 + 3i + (-2 + 1i) Reorder the terms: u + -1z = 5 + -2 + 3i + 1i Combine like terms: 5 + -2 = 3 u + -1z = 3 + 3i + 1i Combine like terms: 3i + 1i = 4i u + -1z = 3 + 4i Solving u + -1z = 3 + 4i Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'z' to each side of the equation. u + -1z + z = 3 + 4i + z Combine like terms: -1z + z = 0 u + 0 = 3 + 4i + z u = 3 + 4i + z Simplifying u = 3 + 4i + z
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