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Simplifying (3 + 7i) + (1 + 3i) = 0 Remove parenthesis around (3 + 7i) 3 + 7i + (1 + 3i) = 0 Remove parenthesis around (1 + 3i) 3 + 7i + 1 + 3i = 0 Reorder the terms: 3 + 1 + 7i + 3i = 0 Combine like terms: 3 + 1 = 4 4 + 7i + 3i = 0 Combine like terms: 7i + 3i = 10i 4 + 10i = 0 Solving 4 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10i = 0 + -4 10i = 0 + -4 Combine like terms: 0 + -4 = -4 10i = -4 Divide each side by '10'. i = -0.4 Simplifying i = -0.4
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