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Simplifying (4 + -1i) + (8 + 5i) = 0 Remove parenthesis around (4 + -1i) 4 + -1i + (8 + 5i) = 0 Remove parenthesis around (8 + 5i) 4 + -1i + 8 + 5i = 0 Reorder the terms: 4 + 8 + -1i + 5i = 0 Combine like terms: 4 + 8 = 12 12 + -1i + 5i = 0 Combine like terms: -1i + 5i = 4i 12 + 4i = 0 Solving 12 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4i = 0 + -12 4i = 0 + -12 Combine like terms: 0 + -12 = -12 4i = -12 Divide each side by '4'. i = -3 Simplifying i = -3
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