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