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