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Simplifying (8 + 4i) + -1(x + yi) = (-9 + 6i) Remove parenthesis around (8 + 4i) 8 + 4i + -1(x + yi) = (-9 + 6i) Reorder the terms: 8 + 4i + -1(iy + x) = (-9 + 6i) 8 + 4i + (iy * -1 + x * -1) = (-9 + 6i) 8 + 4i + (-1iy + -1x) = (-9 + 6i) Remove parenthesis around (-9 + 6i) 8 + 4i + -1iy + -1x = -9 + 6i Solving 8 + 4i + -1iy + -1x = -9 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 8 + 4i + -1iy + -6i + -1x = -9 + 6i + -6i Reorder the terms: 8 + 4i + -6i + -1iy + -1x = -9 + 6i + -6i Combine like terms: 4i + -6i = -2i 8 + -2i + -1iy + -1x = -9 + 6i + -6i Combine like terms: 6i + -6i = 0 8 + -2i + -1iy + -1x = -9 + 0 8 + -2i + -1iy + -1x = -9 Add '-8' to each side of the equation. 8 + -2i + -1iy + -8 + -1x = -9 + -8 Reorder the terms: 8 + -8 + -2i + -1iy + -1x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -2i + -1iy + -1x = -9 + -8 -2i + -1iy + -1x = -9 + -8 Combine like terms: -9 + -8 = -17 -2i + -1iy + -1x = -17 Add 'x' to each side of the equation. -2i + -1iy + -1x + x = -17 + x Combine like terms: -1x + x = 0 -2i + -1iy + 0 = -17 + x -2i + -1iy = -17 + x Reorder the terms: 17 + -2i + -1iy + -1x = -17 + x + 17 + -1x Reorder the terms: 17 + -2i + -1iy + -1x = -17 + 17 + x + -1x Combine like terms: -17 + 17 = 0 17 + -2i + -1iy + -1x = 0 + x + -1x 17 + -2i + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 17 + -2i + -1iy + -1x = 0 The solution to this equation could not be determined.
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