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Simplifying (8 + 2i) + -1(6 + -2i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + -1(6 + -2i) = 0 8 + 2i + (6 * -1 + -2i * -1) = 0 8 + 2i + (-6 + 2i) = 0 Reorder the terms: 8 + -6 + 2i + 2i = 0 Combine like terms: 8 + -6 = 2 2 + 2i + 2i = 0 Combine like terms: 2i + 2i = 4i 2 + 4i = 0 Solving 2 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4i = 0 + -2 4i = 0 + -2 Combine like terms: 0 + -2 = -2 4i = -2 Divide each side by '4'. i = -0.5 Simplifying i = -0.5
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