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Simplifying (6 + -3i) + (5 + 4i) = 0 Remove parenthesis around (6 + -3i) 6 + -3i + (5 + 4i) = 0 Remove parenthesis around (5 + 4i) 6 + -3i + 5 + 4i = 0 Reorder the terms: 6 + 5 + -3i + 4i = 0 Combine like terms: 6 + 5 = 11 11 + -3i + 4i = 0 Combine like terms: -3i + 4i = 1i 11 + 1i = 0 Solving 11 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1i = 0 + -11 1i = 0 + -11 Combine like terms: 0 + -11 = -11 1i = -11 Divide each side by '1'. i = -11 Simplifying i = -11
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