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Simplifying (12 + 4i) + -1(3 + -7i) = 0 Remove parenthesis around (12 + 4i) 12 + 4i + -1(3 + -7i) = 0 12 + 4i + (3 * -1 + -7i * -1) = 0 12 + 4i + (-3 + 7i) = 0 Reorder the terms: 12 + -3 + 4i + 7i = 0 Combine like terms: 12 + -3 = 9 9 + 4i + 7i = 0 Combine like terms: 4i + 7i = 11i 9 + 11i = 0 Solving 9 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11i = 0 + -9 11i = 0 + -9 Combine like terms: 0 + -9 = -9 11i = -9 Divide each side by '11'. i = -0.8181818182 Simplifying i = -0.8181818182
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