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Simplifying (8 + -6i) + -1(-2 + 4i) = 0 Remove parenthesis around (8 + -6i) 8 + -6i + -1(-2 + 4i) = 0 8 + -6i + (-2 * -1 + 4i * -1) = 0 8 + -6i + (2 + -4i) = 0 Reorder the terms: 8 + 2 + -6i + -4i = 0 Combine like terms: 8 + 2 = 10 10 + -6i + -4i = 0 Combine like terms: -6i + -4i = -10i 10 + -10i = 0 Solving 10 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -10i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10i = 0 + -10 -10i = 0 + -10 Combine like terms: 0 + -10 = -10 -10i = -10 Divide each side by '-10'. i = 1 Simplifying i = 1
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