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Simplifying 3x + 6i = 24 + yi Reorder the terms: 6i + 3x = 24 + yi Solving 6i + 3x = 24 + 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 = 24 + iy + -1iy Combine like terms: iy + -1iy = 0 6i + -1iy + 3x = 24 + 0 6i + -1iy + 3x = 24 Add '-3x' to each side of the equation. 6i + -1iy + 3x + -3x = 24 + -3x Combine like terms: 3x + -3x = 0 6i + -1iy + 0 = 24 + -3x 6i + -1iy = 24 + -3x Reorder the terms: -24 + 6i + -1iy + 3x = 24 + -3x + -24 + 3x Reorder the terms: -24 + 6i + -1iy + 3x = 24 + -24 + -3x + 3x Combine like terms: 24 + -24 = 0 -24 + 6i + -1iy + 3x = 0 + -3x + 3x -24 + 6i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 6i + -1iy + 3x = 0 The solution to this equation could not be determined.
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