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Simplifying (8 + 2i) + -1(6 + -4i) + -1(9 + -10i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + -1(6 + -4i) + -1(9 + -10i) = 0 8 + 2i + (6 * -1 + -4i * -1) + -1(9 + -10i) = 0 8 + 2i + (-6 + 4i) + -1(9 + -10i) = 0 8 + 2i + -6 + 4i + (9 * -1 + -10i * -1) = 0 8 + 2i + -6 + 4i + (-9 + 10i) = 0 Reorder the terms: 8 + -6 + -9 + 2i + 4i + 10i = 0 Combine like terms: 8 + -6 = 2 2 + -9 + 2i + 4i + 10i = 0 Combine like terms: 2 + -9 = -7 -7 + 2i + 4i + 10i = 0 Combine like terms: 2i + 4i = 6i -7 + 6i + 10i = 0 Combine like terms: 6i + 10i = 16i -7 + 16i = 0 Solving -7 + 16i = 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 + 16i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16i = 0 + 7 16i = 0 + 7 Combine like terms: 0 + 7 = 7 16i = 7 Divide each side by '16'. i = 0.4375 Simplifying i = 0.4375
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