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Simplifying 7i + -1(9 + -4i) = 0 7i + (9 * -1 + -4i * -1) = 0 7i + (-9 + 4i) = 0 Reorder the terms: -9 + 7i + 4i = 0 Combine like terms: 7i + 4i = 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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