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Simplifying (-2 + 8i) + -1(7 + -3i) = 0 Remove parenthesis around (-2 + 8i) -2 + 8i + -1(7 + -3i) = 0 -2 + 8i + (7 * -1 + -3i * -1) = 0 -2 + 8i + (-7 + 3i) = 0 Reorder the terms: -2 + -7 + 8i + 3i = 0 Combine like terms: -2 + -7 = -9 -9 + 8i + 3i = 0 Combine like terms: 8i + 3i = 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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