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Simplifying (-1 + -8i) + (4 + 3i) = 0 Remove parenthesis around (-1 + -8i) -1 + -8i + (4 + 3i) = 0 Remove parenthesis around (4 + 3i) -1 + -8i + 4 + 3i = 0 Reorder the terms: -1 + 4 + -8i + 3i = 0 Combine like terms: -1 + 4 = 3 3 + -8i + 3i = 0 Combine like terms: -8i + 3i = -5i 3 + -5i = 0 Solving 3 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5i = 0 + -3 -5i = 0 + -3 Combine like terms: 0 + -3 = -3 -5i = -3 Divide each side by '-5'. i = 0.6 Simplifying i = 0.6
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