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Simplifying (8 + -3i) + -1(1 + 8i) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + -1(1 + 8i) = 0 8 + -3i + (1 * -1 + 8i * -1) = 0 8 + -3i + (-1 + -8i) = 0 Reorder the terms: 8 + -1 + -3i + -8i = 0 Combine like terms: 8 + -1 = 7 7 + -3i + -8i = 0 Combine like terms: -3i + -8i = -11i 7 + -11i = 0 Solving 7 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11i = 0 + -7 -11i = 0 + -7 Combine like terms: 0 + -7 = -7 -11i = -7 Divide each side by '-11'. i = 0.6363636364 Simplifying i = 0.6363636364
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