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Simplifying (9 + -8i) + -1(6 + -4i) = 0 Remove parenthesis around (9 + -8i) 9 + -8i + -1(6 + -4i) = 0 9 + -8i + (6 * -1 + -4i * -1) = 0 9 + -8i + (-6 + 4i) = 0 Reorder the terms: 9 + -6 + -8i + 4i = 0 Combine like terms: 9 + -6 = 3 3 + -8i + 4i = 0 Combine like terms: -8i + 4i = -4i 3 + -4i = 0 Solving 3 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4i = 0 + -3 -4i = 0 + -3 Combine like terms: 0 + -3 = -3 -4i = -3 Divide each side by '-4'. i = 0.75 Simplifying i = 0.75
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