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Simplifying (9 + 4i) + 13i = 0 Remove parenthesis around (9 + 4i) 9 + 4i + 13i = 0 Combine like terms: 4i + 13i = 17i 9 + 17i = 0 Solving 9 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 17i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 17i = 0 + -9 17i = 0 + -9 Combine like terms: 0 + -9 = -9 17i = -9 Divide each side by '17'. i = -0.5294117647 Simplifying i = -0.5294117647
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