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Simplifying (8 + -3i) + (15 + 7i) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + (15 + 7i) = 0 Remove parenthesis around (15 + 7i) 8 + -3i + 15 + 7i = 0 Reorder the terms: 8 + 15 + -3i + 7i = 0 Combine like terms: 8 + 15 = 23 23 + -3i + 7i = 0 Combine like terms: -3i + 7i = 4i 23 + 4i = 0 Solving 23 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4i = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4i = 0 + -23 4i = 0 + -23 Combine like terms: 0 + -23 = -23 4i = -23 Divide each side by '4'. i = -5.75 Simplifying i = -5.75
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