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Simplifying (-7 + 4i) + -1(4 + -8i) = 0 Remove parenthesis around (-7 + 4i) -7 + 4i + -1(4 + -8i) = 0 -7 + 4i + (4 * -1 + -8i * -1) = 0 -7 + 4i + (-4 + 8i) = 0 Reorder the terms: -7 + -4 + 4i + 8i = 0 Combine like terms: -7 + -4 = -11 -11 + 4i + 8i = 0 Combine like terms: 4i + 8i = 12i -11 + 12i = 0 Solving -11 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12i = 0 + 11 12i = 0 + 11 Combine like terms: 0 + 11 = 11 12i = 11 Divide each side by '12'. i = 0.9166666667 Simplifying i = 0.9166666667
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