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Simplifying (-11 + 8i) + -1(-4 + -8i) = 0 Remove parenthesis around (-11 + 8i) -11 + 8i + -1(-4 + -8i) = 0 -11 + 8i + (-4 * -1 + -8i * -1) = 0 -11 + 8i + (4 + 8i) = 0 Reorder the terms: -11 + 4 + 8i + 8i = 0 Combine like terms: -11 + 4 = -7 -7 + 8i + 8i = 0 Combine like terms: 8i + 8i = 16i -7 + 16i = 0 Solving -7 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16i = 0 + 7 16i = 0 + 7 Combine like terms: 0 + 7 = 7 16i = 7 Divide each side by '16'. i = 0.4375 Simplifying i = 0.4375
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