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Simplifying 4x + 6i = 12 + yi Reorder the terms: 6i + 4x = 12 + yi Solving 6i + 4x = 12 + 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 + 4x = 12 + iy + -1iy Combine like terms: iy + -1iy = 0 6i + -1iy + 4x = 12 + 0 6i + -1iy + 4x = 12 Add '-4x' to each side of the equation. 6i + -1iy + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 6i + -1iy + 0 = 12 + -4x 6i + -1iy = 12 + -4x Reorder the terms: -12 + 6i + -1iy + 4x = 12 + -4x + -12 + 4x Reorder the terms: -12 + 6i + -1iy + 4x = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + 6i + -1iy + 4x = 0 + -4x + 4x -12 + 6i + -1iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6i + -1iy + 4x = 0 The solution to this equation could not be determined.
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