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Simplifying (8 + 3i) + (5 + -6i) = 0 Remove parenthesis around (8 + 3i) 8 + 3i + (5 + -6i) = 0 Remove parenthesis around (5 + -6i) 8 + 3i + 5 + -6i = 0 Reorder the terms: 8 + 5 + 3i + -6i = 0 Combine like terms: 8 + 5 = 13 13 + 3i + -6i = 0 Combine like terms: 3i + -6i = -3i 13 + -3i = 0 Solving 13 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3i = 0 + -13 -3i = 0 + -13 Combine like terms: 0 + -13 = -13 -3i = -13 Divide each side by '-3'. i = 4.333333333 Simplifying i = 4.333333333
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