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Simplifying Z + (1 + 3i) = 2 + -5i Remove parenthesis around (1 + 3i) Z + 1 + 3i = 2 + -5i Reorder the terms: 1 + Z + 3i = 2 + -5i Solving 1 + Z + 3i = 2 + -5i Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + Z + -1 + 3i = 2 + -1 + -5i Reorder the terms: 1 + -1 + Z + 3i = 2 + -1 + -5i Combine like terms: 1 + -1 = 0 0 + Z + 3i = 2 + -1 + -5i Z + 3i = 2 + -1 + -5i Combine like terms: 2 + -1 = 1 Z + 3i = 1 + -5i Add '-3i' to each side of the equation. Z + 3i + -3i = 1 + -5i + -3i Combine like terms: 3i + -3i = 0 Z + 0 = 1 + -5i + -3i Z = 1 + -5i + -3i Combine like terms: -5i + -3i = -8i Z = 1 + -8i Simplifying Z = 1 + -8i
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