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Simplifying (8 + 5i) + -1(1 + 2i) = 0 Remove parenthesis around (8 + 5i) 8 + 5i + -1(1 + 2i) = 0 8 + 5i + (1 * -1 + 2i * -1) = 0 8 + 5i + (-1 + -2i) = 0 Reorder the terms: 8 + -1 + 5i + -2i = 0 Combine like terms: 8 + -1 = 7 7 + 5i + -2i = 0 Combine like terms: 5i + -2i = 3i 7 + 3i = 0 Solving 7 + 3i = 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 + 3i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3i = 0 + -7 3i = 0 + -7 Combine like terms: 0 + -7 = -7 3i = -7 Divide each side by '3'. i = -2.333333333 Simplifying i = -2.333333333
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