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Simplifying (2 + -1i) + (13 + 4i) = 0 Remove parenthesis around (2 + -1i) 2 + -1i + (13 + 4i) = 0 Remove parenthesis around (13 + 4i) 2 + -1i + 13 + 4i = 0 Reorder the terms: 2 + 13 + -1i + 4i = 0 Combine like terms: 2 + 13 = 15 15 + -1i + 4i = 0 Combine like terms: -1i + 4i = 3i 15 + 3i = 0 Solving 15 + 3i = 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 + 3i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3i = 0 + -15 3i = 0 + -15 Combine like terms: 0 + -15 = -15 3i = -15 Divide each side by '3'. i = -5 Simplifying i = -5
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