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Simplifying (5 + -2i) + (1 + 5i) = 0 Remove parenthesis around (5 + -2i) 5 + -2i + (1 + 5i) = 0 Remove parenthesis around (1 + 5i) 5 + -2i + 1 + 5i = 0 Reorder the terms: 5 + 1 + -2i + 5i = 0 Combine like terms: 5 + 1 = 6 6 + -2i + 5i = 0 Combine like terms: -2i + 5i = 3i 6 + 3i = 0 Solving 6 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3i = 0 + -6 3i = 0 + -6 Combine like terms: 0 + -6 = -6 3i = -6 Divide each side by '3'. i = -2 Simplifying i = -2
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