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Simplifying (2 + -5i) + -1(4 + 3i) = 0 Remove parenthesis around (2 + -5i) 2 + -5i + -1(4 + 3i) = 0 2 + -5i + (4 * -1 + 3i * -1) = 0 2 + -5i + (-4 + -3i) = 0 Reorder the terms: 2 + -4 + -5i + -3i = 0 Combine like terms: 2 + -4 = -2 -2 + -5i + -3i = 0 Combine like terms: -5i + -3i = -8i -2 + -8i = 0 Solving -2 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -8i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8i = 0 + 2 -8i = 0 + 2 Combine like terms: 0 + 2 = 2 -8i = 2 Divide each side by '-8'. i = -0.25 Simplifying i = -0.25
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