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Simplifying (9 + 8i) + -1(5 + 5i) = 0 Remove parenthesis around (9 + 8i) 9 + 8i + -1(5 + 5i) = 0 9 + 8i + (5 * -1 + 5i * -1) = 0 9 + 8i + (-5 + -5i) = 0 Reorder the terms: 9 + -5 + 8i + -5i = 0 Combine like terms: 9 + -5 = 4 4 + 8i + -5i = 0 Combine like terms: 8i + -5i = 3i 4 + 3i = 0 Solving 4 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3i = 0 + -4 3i = 0 + -4 Combine like terms: 0 + -4 = -4 3i = -4 Divide each side by '3'. i = -1.333333333 Simplifying i = -1.333333333
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