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Simplifying 2x + 4xi + -3y + 2yi = -5 + 14i Reorder the terms: 4ix + 2iy + 2x + -3y = -5 + 14i Solving 4ix + 2iy + 2x + -3y = -5 + 14i 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. 4ix + 2iy + 2x + -14i + -3y = -5 + 14i + -14i Reorder the terms: -14i + 4ix + 2iy + 2x + -3y = -5 + 14i + -14i Combine like terms: 14i + -14i = 0 -14i + 4ix + 2iy + 2x + -3y = -5 + 0 -14i + 4ix + 2iy + 2x + -3y = -5 Add '-2x' to each side of the equation. -14i + 4ix + 2iy + 2x + -2x + -3y = -5 + -2x Combine like terms: 2x + -2x = 0 -14i + 4ix + 2iy + 0 + -3y = -5 + -2x -14i + 4ix + 2iy + -3y = -5 + -2x Add '3y' to each side of the equation. -14i + 4ix + 2iy + -3y + 3y = -5 + -2x + 3y Combine like terms: -3y + 3y = 0 -14i + 4ix + 2iy + 0 = -5 + -2x + 3y -14i + 4ix + 2iy = -5 + -2x + 3y Reorder the terms: 5 + -14i + 4ix + 2iy + 2x + -3y = -5 + -2x + 3y + 5 + 2x + -3y Reorder the terms: 5 + -14i + 4ix + 2iy + 2x + -3y = -5 + 5 + -2x + 2x + 3y + -3y Combine like terms: -5 + 5 = 0 5 + -14i + 4ix + 2iy + 2x + -3y = 0 + -2x + 2x + 3y + -3y 5 + -14i + 4ix + 2iy + 2x + -3y = -2x + 2x + 3y + -3y Combine like terms: -2x + 2x = 0 5 + -14i + 4ix + 2iy + 2x + -3y = 0 + 3y + -3y 5 + -14i + 4ix + 2iy + 2x + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 5 + -14i + 4ix + 2iy + 2x + -3y = 0 The solution to this equation could not be determined.
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