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Simplifying (5 + 3i) + (7 + 3i) = 0 Remove parenthesis around (5 + 3i) 5 + 3i + (7 + 3i) = 0 Remove parenthesis around (7 + 3i) 5 + 3i + 7 + 3i = 0 Reorder the terms: 5 + 7 + 3i + 3i = 0 Combine like terms: 5 + 7 = 12 12 + 3i + 3i = 0 Combine like terms: 3i + 3i = 6i 12 + 6i = 0 Solving 12 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6i = 0 + -12 6i = 0 + -12 Combine like terms: 0 + -12 = -12 6i = -12 Divide each side by '6'. i = -2 Simplifying i = -2
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