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Simplifying 3x + 6 + 2yi + -1xi + 3y = 9 + 5i Reorder the terms: 6 + -1ix + 2iy + 3x + 3y = 9 + 5i Solving 6 + -1ix + 2iy + 3x + 3y = 9 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 6 + -1ix + 2iy + 3x + -5i + 3y = 9 + 5i + -5i Reorder the terms: 6 + -5i + -1ix + 2iy + 3x + 3y = 9 + 5i + -5i Combine like terms: 5i + -5i = 0 6 + -5i + -1ix + 2iy + 3x + 3y = 9 + 0 6 + -5i + -1ix + 2iy + 3x + 3y = 9 Add '-6' to each side of the equation. 6 + -5i + -1ix + 2iy + 3x + -6 + 3y = 9 + -6 Reorder the terms: 6 + -6 + -5i + -1ix + 2iy + 3x + 3y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -5i + -1ix + 2iy + 3x + 3y = 9 + -6 -5i + -1ix + 2iy + 3x + 3y = 9 + -6 Combine like terms: 9 + -6 = 3 -5i + -1ix + 2iy + 3x + 3y = 3 Add '-3x' to each side of the equation. -5i + -1ix + 2iy + 3x + -3x + 3y = 3 + -3x Combine like terms: 3x + -3x = 0 -5i + -1ix + 2iy + 0 + 3y = 3 + -3x -5i + -1ix + 2iy + 3y = 3 + -3x Add '-3y' to each side of the equation. -5i + -1ix + 2iy + 3y + -3y = 3 + -3x + -3y Combine like terms: 3y + -3y = 0 -5i + -1ix + 2iy + 0 = 3 + -3x + -3y -5i + -1ix + 2iy = 3 + -3x + -3y Reorder the terms: -3 + -5i + -1ix + 2iy + 3x + 3y = 3 + -3x + -3y + -3 + 3x + 3y Reorder the terms: -3 + -5i + -1ix + 2iy + 3x + 3y = 3 + -3 + -3x + 3x + -3y + 3y Combine like terms: 3 + -3 = 0 -3 + -5i + -1ix + 2iy + 3x + 3y = 0 + -3x + 3x + -3y + 3y -3 + -5i + -1ix + 2iy + 3x + 3y = -3x + 3x + -3y + 3y Combine like terms: -3x + 3x = 0 -3 + -5i + -1ix + 2iy + 3x + 3y = 0 + -3y + 3y -3 + -5i + -1ix + 2iy + 3x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -3 + -5i + -1ix + 2iy + 3x + 3y = 0 The solution to this equation could not be determined.
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