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Simplifying (6 + 3i) + (8 + -5i) = 0 Remove parenthesis around (6 + 3i) 6 + 3i + (8 + -5i) = 0 Remove parenthesis around (8 + -5i) 6 + 3i + 8 + -5i = 0 Reorder the terms: 6 + 8 + 3i + -5i = 0 Combine like terms: 6 + 8 = 14 14 + 3i + -5i = 0 Combine like terms: 3i + -5i = -2i 14 + -2i = 0 Solving 14 + -2i = 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 + -2i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2i = 0 + -14 -2i = 0 + -14 Combine like terms: 0 + -14 = -14 -2i = -14 Divide each side by '-2'. i = 7 Simplifying i = 7
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