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Simplifying (-7 + 5i) + (18 + -3i) = 0 Remove parenthesis around (-7 + 5i) -7 + 5i + (18 + -3i) = 0 Remove parenthesis around (18 + -3i) -7 + 5i + 18 + -3i = 0 Reorder the terms: -7 + 18 + 5i + -3i = 0 Combine like terms: -7 + 18 = 11 11 + 5i + -3i = 0 Combine like terms: 5i + -3i = 2i 11 + 2i = 0 Solving 11 + 2i = 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 + 2i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2i = 0 + -11 2i = 0 + -11 Combine like terms: 0 + -11 = -11 2i = -11 Divide each side by '2'. i = -5.5 Simplifying i = -5.5
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