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Simplifying (2 + 6i) + [6 + -5i + -1(4 + -11i)] = 0 Remove parenthesis around (2 + 6i) 2 + 6i + [6 + -5i + -1(4 + -11i)] = 0 2 + 6i + [6 + -5i + (4 * -1 + -11i * -1)] = 0 2 + 6i + [6 + -5i + (-4 + 11i)] = 0 Reorder the terms: 2 + 6i + [6 + -4 + -5i + 11i] = 0 Combine like terms: 6 + -4 = 2 2 + 6i + [2 + -5i + 11i] = 0 Combine like terms: -5i + 11i = 6i 2 + 6i + [2 + 6i] = 0 Remove brackets around [2 + 6i] 2 + 6i + 2 + 6i = 0 Reorder the terms: 2 + 2 + 6i + 6i = 0 Combine like terms: 2 + 2 = 4 4 + 6i + 6i = 0 Combine like terms: 6i + 6i = 12i 4 + 12i = 0 Solving 4 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12i = 0 + -4 12i = 0 + -4 Combine like terms: 0 + -4 = -4 12i = -4 Divide each side by '12'. i = -0.3333333333 Simplifying i = -0.3333333333
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