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Simplifying (8 + 6i) + (4 + -3i) = 0 Remove parenthesis around (8 + 6i) 8 + 6i + (4 + -3i) = 0 Remove parenthesis around (4 + -3i) 8 + 6i + 4 + -3i = 0 Reorder the terms: 8 + 4 + 6i + -3i = 0 Combine like terms: 8 + 4 = 12 12 + 6i + -3i = 0 Combine like terms: 6i + -3i = 3i 12 + 3i = 0 Solving 12 + 3i = 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 + 3i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3i = 0 + -12 3i = 0 + -12 Combine like terms: 0 + -12 = -12 3i = -12 Divide each side by '3'. i = -4 Simplifying i = -4
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