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Simplifying (9 + 3i) + -1(8 + i) = 0 Remove parenthesis around (9 + 3i) 9 + 3i + -1(8 + i) = 0 9 + 3i + (8 * -1 + i * -1) = 0 9 + 3i + (-8 + -1i) = 0 Reorder the terms: 9 + -8 + 3i + -1i = 0 Combine like terms: 9 + -8 = 1 1 + 3i + -1i = 0 Combine like terms: 3i + -1i = 2i 1 + 2i = 0 Solving 1 + 2i = 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 + 2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2i = 0 + -1 2i = 0 + -1 Combine like terms: 0 + -1 = -1 2i = -1 Divide each side by '2'. i = -0.5 Simplifying i = -0.5
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