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Simplifying (2 + -3i) + -4(4 + -5i) = 0 Remove parenthesis around (2 + -3i) 2 + -3i + -4(4 + -5i) = 0 2 + -3i + (4 * -4 + -5i * -4) = 0 2 + -3i + (-16 + 20i) = 0 Reorder the terms: 2 + -16 + -3i + 20i = 0 Combine like terms: 2 + -16 = -14 -14 + -3i + 20i = 0 Combine like terms: -3i + 20i = 17i -14 + 17i = 0 Solving -14 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 17i = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 17i = 0 + 14 17i = 0 + 14 Combine like terms: 0 + 14 = 14 17i = 14 Divide each side by '17'. i = 0.8235294118 Simplifying i = 0.8235294118
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