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Simplifying (7 + 5i) + (8 + -3i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + (8 + -3i) = 0 Remove parenthesis around (8 + -3i) 7 + 5i + 8 + -3i = 0 Reorder the terms: 7 + 8 + 5i + -3i = 0 Combine like terms: 7 + 8 = 15 15 + 5i + -3i = 0 Combine like terms: 5i + -3i = 2i 15 + 2i = 0 Solving 15 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2i = 0 + -15 2i = 0 + -15 Combine like terms: 0 + -15 = -15 2i = -15 Divide each side by '2'. i = -7.5 Simplifying i = -7.5
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