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Simplifying 12 + 6i = 4x + 3yi Reorder the terms: 12 + 6i = 3iy + 4x Solving 12 + 6i = 3iy + 4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3iy' to each side of the equation. 12 + 6i + -3iy = 3iy + -3iy + 4x Combine like terms: 3iy + -3iy = 0 12 + 6i + -3iy = 0 + 4x 12 + 6i + -3iy = 4x Add '-12' to each side of the equation. 12 + 6i + -12 + -3iy = -12 + 4x Reorder the terms: 12 + -12 + 6i + -3iy = -12 + 4x Combine like terms: 12 + -12 = 0 0 + 6i + -3iy = -12 + 4x 6i + -3iy = -12 + 4x Reorder the terms: 12 + 6i + -3iy + -4x = -12 + 4x + 12 + -4x Reorder the terms: 12 + 6i + -3iy + -4x = -12 + 12 + 4x + -4x Combine like terms: -12 + 12 = 0 12 + 6i + -3iy + -4x = 0 + 4x + -4x 12 + 6i + -3iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 12 + 6i + -3iy + -4x = 0 The solution to this equation could not be determined.
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