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Simplifying (4 + 3i) + (6 + 4i) + (4 + -6i) = 0 Remove parenthesis around (4 + 3i) 4 + 3i + (6 + 4i) + (4 + -6i) = 0 Remove parenthesis around (6 + 4i) 4 + 3i + 6 + 4i + (4 + -6i) = 0 Remove parenthesis around (4 + -6i) 4 + 3i + 6 + 4i + 4 + -6i = 0 Reorder the terms: 4 + 6 + 4 + 3i + 4i + -6i = 0 Combine like terms: 4 + 6 = 10 10 + 4 + 3i + 4i + -6i = 0 Combine like terms: 10 + 4 = 14 14 + 3i + 4i + -6i = 0 Combine like terms: 3i + 4i = 7i 14 + 7i + -6i = 0 Combine like terms: 7i + -6i = 1i 14 + 1i = 0 Solving 14 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1i = 0 + -14 1i = 0 + -14 Combine like terms: 0 + -14 = -14 1i = -14 Divide each side by '1'. i = -14 Simplifying i = -14
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