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Simplifying (8 + -3i) + -1(6 + -8i) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + -1(6 + -8i) = 0 8 + -3i + (6 * -1 + -8i * -1) = 0 8 + -3i + (-6 + 8i) = 0 Reorder the terms: 8 + -6 + -3i + 8i = 0 Combine like terms: 8 + -6 = 2 2 + -3i + 8i = 0 Combine like terms: -3i + 8i = 5i 2 + 5i = 0 Solving 2 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5i = 0 + -2 5i = 0 + -2 Combine like terms: 0 + -2 = -2 5i = -2 Divide each side by '5'. i = -0.4 Simplifying i = -0.4
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