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Simplifying (8 + -3i) + -1(2 + -9i) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + -1(2 + -9i) = 0 8 + -3i + (2 * -1 + -9i * -1) = 0 8 + -3i + (-2 + 9i) = 0 Reorder the terms: 8 + -2 + -3i + 9i = 0 Combine like terms: 8 + -2 = 6 6 + -3i + 9i = 0 Combine like terms: -3i + 9i = 6i 6 + 6i = 0 Solving 6 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6i = 0 + -6 6i = 0 + -6 Combine like terms: 0 + -6 = -6 6i = -6 Divide each side by '6'. i = -1 Simplifying i = -1
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