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Simplifying (2x + -4y) * i + x + 5y = 15 + 58i Reorder the terms for easier multiplication: i(2x + -4y) + x + 5y = 15 + 58i (2x * i + -4y * i) + x + 5y = 15 + 58i (2ix + -4iy) + x + 5y = 15 + 58i Solving 2ix + -4iy + x + 5y = 15 + 58i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-58i' to each side of the equation. 2ix + -4iy + x + -58i + 5y = 15 + 58i + -58i Reorder the terms: -58i + 2ix + -4iy + x + 5y = 15 + 58i + -58i Combine like terms: 58i + -58i = 0 -58i + 2ix + -4iy + x + 5y = 15 + 0 -58i + 2ix + -4iy + x + 5y = 15 Add '-1x' to each side of the equation. -58i + 2ix + -4iy + x + -1x + 5y = 15 + -1x Combine like terms: x + -1x = 0 -58i + 2ix + -4iy + 0 + 5y = 15 + -1x -58i + 2ix + -4iy + 5y = 15 + -1x Add '-5y' to each side of the equation. -58i + 2ix + -4iy + 5y + -5y = 15 + -1x + -5y Combine like terms: 5y + -5y = 0 -58i + 2ix + -4iy + 0 = 15 + -1x + -5y -58i + 2ix + -4iy = 15 + -1x + -5y Reorder the terms: -15 + -58i + 2ix + -4iy + x + 5y = 15 + -1x + -5y + -15 + x + 5y Reorder the terms: -15 + -58i + 2ix + -4iy + x + 5y = 15 + -15 + -1x + x + -5y + 5y Combine like terms: 15 + -15 = 0 -15 + -58i + 2ix + -4iy + x + 5y = 0 + -1x + x + -5y + 5y -15 + -58i + 2ix + -4iy + x + 5y = -1x + x + -5y + 5y Combine like terms: -1x + x = 0 -15 + -58i + 2ix + -4iy + x + 5y = 0 + -5y + 5y -15 + -58i + 2ix + -4iy + x + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -15 + -58i + 2ix + -4iy + x + 5y = 0 The solution to this equation could not be determined.
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