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Simplifying (2 + -1i) + (5 + 3i) = 0 Remove parenthesis around (2 + -1i) 2 + -1i + (5 + 3i) = 0 Remove parenthesis around (5 + 3i) 2 + -1i + 5 + 3i = 0 Reorder the terms: 2 + 5 + -1i + 3i = 0 Combine like terms: 2 + 5 = 7 7 + -1i + 3i = 0 Combine like terms: -1i + 3i = 2i 7 + 2i = 0 Solving 7 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2i = 0 + -7 2i = 0 + -7 Combine like terms: 0 + -7 = -7 2i = -7 Divide each side by '2'. i = -3.5 Simplifying i = -3.5
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