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Simplifying (-6 + -1i + 5i) + (11 + 13i) = 0 Combine like terms: -1i + 5i = 4i (-6 + 4i) + (11 + 13i) = 0 Remove parenthesis around (-6 + 4i) -6 + 4i + (11 + 13i) = 0 Remove parenthesis around (11 + 13i) -6 + 4i + 11 + 13i = 0 Reorder the terms: -6 + 11 + 4i + 13i = 0 Combine like terms: -6 + 11 = 5 5 + 4i + 13i = 0 Combine like terms: 4i + 13i = 17i 5 + 17i = 0 Solving 5 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 17i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 17i = 0 + -5 17i = 0 + -5 Combine like terms: 0 + -5 = -5 17i = -5 Divide each side by '17'. i = -0.2941176471 Simplifying i = -0.2941176471
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