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Simplifying (-2 + 11i) + -1(-3 + 3i) = 0 Remove parenthesis around (-2 + 11i) -2 + 11i + -1(-3 + 3i) = 0 -2 + 11i + (-3 * -1 + 3i * -1) = 0 -2 + 11i + (3 + -3i) = 0 Reorder the terms: -2 + 3 + 11i + -3i = 0 Combine like terms: -2 + 3 = 1 1 + 11i + -3i = 0 Combine like terms: 11i + -3i = 8i 1 + 8i = 0 Solving 1 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8i = 0 + -1 8i = 0 + -1 Combine like terms: 0 + -1 = -1 8i = -1 Divide each side by '8'. i = -0.125 Simplifying i = -0.125
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