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Simplifying (8 + -6i) + -1(-8 + 1) = 0 Remove parenthesis around (8 + -6i) 8 + -6i + -1(-8 + 1) = 0 Combine like terms: -8 + 1 = -7 8 + -6i + -1(-7) = 0 Multiply -1 * -7 8 + -6i + 7 = 0 Reorder the terms: 8 + 7 + -6i = 0 Combine like terms: 8 + 7 = 15 15 + -6i = 0 Solving 15 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6i = 0 + -15 -6i = 0 + -15 Combine like terms: 0 + -15 = -15 -6i = -15 Divide each side by '-6'. i = 2.5 Simplifying i = 2.5
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