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Simplifying (1 + -9i) + (3 + 1i) = 0 Remove parenthesis around (1 + -9i) 1 + -9i + (3 + 1i) = 0 Remove parenthesis around (3 + 1i) 1 + -9i + 3 + 1i = 0 Reorder the terms: 1 + 3 + -9i + 1i = 0 Combine like terms: 1 + 3 = 4 4 + -9i + 1i = 0 Combine like terms: -9i + 1i = -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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