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Simplifying (7 + 10i) + (6 + i) = 0 Remove parenthesis around (7 + 10i) 7 + 10i + (6 + i) = 0 Remove parenthesis around (6 + i) 7 + 10i + 6 + i = 0 Reorder the terms: 7 + 6 + 10i + i = 0 Combine like terms: 7 + 6 = 13 13 + 10i + i = 0 Combine like terms: 10i + i = 11i 13 + 11i = 0 Solving 13 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11i = 0 + -13 11i = 0 + -13 Combine like terms: 0 + -13 = -13 11i = -13 Divide each side by '11'. i = -1.181818182 Simplifying i = -1.181818182
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