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Simplifying (18 + -3i) + -1(5 + 8i) = 0 Remove parenthesis around (18 + -3i) 18 + -3i + -1(5 + 8i) = 0 18 + -3i + (5 * -1 + 8i * -1) = 0 18 + -3i + (-5 + -8i) = 0 Reorder the terms: 18 + -5 + -3i + -8i = 0 Combine like terms: 18 + -5 = 13 13 + -3i + -8i = 0 Combine like terms: -3i + -8i = -11i 13 + -11i = 0 Solving 13 + -11i = 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 + -11i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -11i = 0 + -13 -11i = 0 + -13 Combine like terms: 0 + -13 = -13 -11i = -13 Divide each side by '-11'. i = 1.181818182 Simplifying i = 1.181818182
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