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Simplifying (5 + -3i) + (2 + 7i) = 0 Remove parenthesis around (5 + -3i) 5 + -3i + (2 + 7i) = 0 Remove parenthesis around (2 + 7i) 5 + -3i + 2 + 7i = 0 Reorder the terms: 5 + 2 + -3i + 7i = 0 Combine like terms: 5 + 2 = 7 7 + -3i + 7i = 0 Combine like terms: -3i + 7i = 4i 7 + 4i = 0 Solving 7 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4i = 0 + -7 4i = 0 + -7 Combine like terms: 0 + -7 = -7 4i = -7 Divide each side by '4'. i = -1.75 Simplifying i = -1.75
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