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Simplifying (12 + i) + (7 + 4i) = 0 Remove parenthesis around (12 + i) 12 + i + (7 + 4i) = 0 Remove parenthesis around (7 + 4i) 12 + i + 7 + 4i = 0 Reorder the terms: 12 + 7 + i + 4i = 0 Combine like terms: 12 + 7 = 19 19 + i + 4i = 0 Combine like terms: i + 4i = 5i 19 + 5i = 0 Solving 19 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5i = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5i = 0 + -19 5i = 0 + -19 Combine like terms: 0 + -19 = -19 5i = -19 Divide each side by '5'. i = -3.8 Simplifying i = -3.8
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