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Simplifying (5 + 8i) + -1(6 + -1i) = 0 Remove parenthesis around (5 + 8i) 5 + 8i + -1(6 + -1i) = 0 5 + 8i + (6 * -1 + -1i * -1) = 0 5 + 8i + (-6 + 1i) = 0 Reorder the terms: 5 + -6 + 8i + 1i = 0 Combine like terms: 5 + -6 = -1 -1 + 8i + 1i = 0 Combine like terms: 8i + 1i = 9i -1 + 9i = 0 Solving -1 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9i = 0 + 1 9i = 0 + 1 Combine like terms: 0 + 1 = 1 9i = 1 Divide each side by '9'. i = 0.1111111111 Simplifying i = 0.1111111111
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