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Simplifying (3 + 4i) + (7 + i) = 0 Remove parenthesis around (3 + 4i) 3 + 4i + (7 + i) = 0 Remove parenthesis around (7 + i) 3 + 4i + 7 + i = 0 Reorder the terms: 3 + 7 + 4i + i = 0 Combine like terms: 3 + 7 = 10 10 + 4i + i = 0 Combine like terms: 4i + i = 5i 10 + 5i = 0 Solving 10 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5i = 0 + -10 5i = 0 + -10 Combine like terms: 0 + -10 = -10 5i = -10 Divide each side by '5'. i = -2 Simplifying i = -2
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