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Simplifying (8 + 2i) + -1(9 + -6i) = a + bi Remove parenthesis around (8 + 2i) 8 + 2i + -1(9 + -6i) = a + bi 8 + 2i + (9 * -1 + -6i * -1) = a + bi 8 + 2i + (-9 + 6i) = a + bi Reorder the terms: 8 + -9 + 2i + 6i = a + bi Combine like terms: 8 + -9 = -1 -1 + 2i + 6i = a + bi Combine like terms: 2i + 6i = 8i -1 + 8i = a + bi Solving -1 + 8i = a + bi Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1bi' to each side of the equation. -1 + -1bi + 8i = a + bi + -1bi Combine like terms: bi + -1bi = 0 -1 + -1bi + 8i = a + 0 -1 + -1bi + 8i = a Add '1' to each side of the equation. -1 + -1bi + 1 + 8i = 1 + a Reorder the terms: -1 + 1 + -1bi + 8i = 1 + a Combine like terms: -1 + 1 = 0 0 + -1bi + 8i = 1 + a -1bi + 8i = 1 + a Reorder the terms: -1 + -1a + -1bi + 8i = 1 + a + -1 + -1a Reorder the terms: -1 + -1a + -1bi + 8i = 1 + -1 + a + -1a Combine like terms: 1 + -1 = 0 -1 + -1a + -1bi + 8i = 0 + a + -1a -1 + -1a + -1bi + 8i = a + -1a Combine like terms: a + -1a = 0 -1 + -1a + -1bi + 8i = 0 The solution to this equation could not be determined.
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