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