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Simplifying (1 + 17i) + (12 + -4i) = 0 Remove parenthesis around (1 + 17i) 1 + 17i + (12 + -4i) = 0 Remove parenthesis around (12 + -4i) 1 + 17i + 12 + -4i = 0 Reorder the terms: 1 + 12 + 17i + -4i = 0 Combine like terms: 1 + 12 = 13 13 + 17i + -4i = 0 Combine like terms: 17i + -4i = 13i 13 + 13i = 0 Solving 13 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 13i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 13i = 0 + -13 13i = 0 + -13 Combine like terms: 0 + -13 = -13 13i = -13 Divide each side by '13'. i = -1 Simplifying i = -1
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