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Simplifying (1 + 2i) + -1(8 + 8i) = 0 Remove parenthesis around (1 + 2i) 1 + 2i + -1(8 + 8i) = 0 1 + 2i + (8 * -1 + 8i * -1) = 0 1 + 2i + (-8 + -8i) = 0 Reorder the terms: 1 + -8 + 2i + -8i = 0 Combine like terms: 1 + -8 = -7 -7 + 2i + -8i = 0 Combine like terms: 2i + -8i = -6i -7 + -6i = 0 Solving -7 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6i = 0 + 7 -6i = 0 + 7 Combine like terms: 0 + 7 = 7 -6i = 7 Divide each side by '-6'. i = -1.166666667 Simplifying i = -1.166666667
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