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Simplifying (11 + 2i) + -1(3 + -10i) = 0 Remove parenthesis around (11 + 2i) 11 + 2i + -1(3 + -10i) = 0 11 + 2i + (3 * -1 + -10i * -1) = 0 11 + 2i + (-3 + 10i) = 0 Reorder the terms: 11 + -3 + 2i + 10i = 0 Combine like terms: 11 + -3 = 8 8 + 2i + 10i = 0 Combine like terms: 2i + 10i = 12i 8 + 12i = 0 Solving 8 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12i = 0 + -8 12i = 0 + -8 Combine like terms: 0 + -8 = -8 12i = -8 Divide each side by '12'. i = -0.6666666667 Simplifying i = -0.6666666667
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