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Simplifying 27 + 2yi = 3x + 14i Reorder the terms: 27 + 2iy = 14i + 3x Solving 27 + 2iy = 14i + 3x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14i' to each side of the equation. 27 + -14i + 2iy = 14i + -14i + 3x Combine like terms: 14i + -14i = 0 27 + -14i + 2iy = 0 + 3x 27 + -14i + 2iy = 3x Add '-27' to each side of the equation. 27 + -14i + -27 + 2iy = -27 + 3x Reorder the terms: 27 + -27 + -14i + 2iy = -27 + 3x Combine like terms: 27 + -27 = 0 0 + -14i + 2iy = -27 + 3x -14i + 2iy = -27 + 3x Reorder the terms: 27 + -14i + 2iy + -3x = -27 + 3x + 27 + -3x Reorder the terms: 27 + -14i + 2iy + -3x = -27 + 27 + 3x + -3x Combine like terms: -27 + 27 = 0 27 + -14i + 2iy + -3x = 0 + 3x + -3x 27 + -14i + 2iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 27 + -14i + 2iy + -3x = 0 The solution to this equation could not be determined.
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