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Simplifying (4 + 5i) + -1(8 + -3i) = 0 Remove parenthesis around (4 + 5i) 4 + 5i + -1(8 + -3i) = 0 4 + 5i + (8 * -1 + -3i * -1) = 0 4 + 5i + (-8 + 3i) = 0 Reorder the terms: 4 + -8 + 5i + 3i = 0 Combine like terms: 4 + -8 = -4 -4 + 5i + 3i = 0 Combine like terms: 5i + 3i = 8i -4 + 8i = 0 Solving -4 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8i = 0 + 4 8i = 0 + 4 Combine like terms: 0 + 4 = 4 8i = 4 Divide each side by '8'. i = 0.5 Simplifying i = 0.5
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