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Simplifying 7x + y + (5x + -1y) * i = 9 + 15i Reorder the terms for easier multiplication: 7x + y + i(5x + -1y) = 9 + 15i 7x + y + (5x * i + -1y * i) = 9 + 15i 7x + y + (5ix + -1iy) = 9 + 15i Reorder the terms: 5ix + -1iy + 7x + y = 9 + 15i Solving 5ix + -1iy + 7x + y = 9 + 15i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15i' to each side of the equation. 5ix + -1iy + 7x + -15i + y = 9 + 15i + -15i Reorder the terms: -15i + 5ix + -1iy + 7x + y = 9 + 15i + -15i Combine like terms: 15i + -15i = 0 -15i + 5ix + -1iy + 7x + y = 9 + 0 -15i + 5ix + -1iy + 7x + y = 9 Add '-7x' to each side of the equation. -15i + 5ix + -1iy + 7x + -7x + y = 9 + -7x Combine like terms: 7x + -7x = 0 -15i + 5ix + -1iy + 0 + y = 9 + -7x -15i + 5ix + -1iy + y = 9 + -7x Add '-1y' to each side of the equation. -15i + 5ix + -1iy + y + -1y = 9 + -7x + -1y Combine like terms: y + -1y = 0 -15i + 5ix + -1iy + 0 = 9 + -7x + -1y -15i + 5ix + -1iy = 9 + -7x + -1y Reorder the terms: -9 + -15i + 5ix + -1iy + 7x + y = 9 + -7x + -1y + -9 + 7x + y Reorder the terms: -9 + -15i + 5ix + -1iy + 7x + y = 9 + -9 + -7x + 7x + -1y + y Combine like terms: 9 + -9 = 0 -9 + -15i + 5ix + -1iy + 7x + y = 0 + -7x + 7x + -1y + y -9 + -15i + 5ix + -1iy + 7x + y = -7x + 7x + -1y + y Combine like terms: -7x + 7x = 0 -9 + -15i + 5ix + -1iy + 7x + y = 0 + -1y + y -9 + -15i + 5ix + -1iy + 7x + y = -1y + y Combine like terms: -1y + y = 0 -9 + -15i + 5ix + -1iy + 7x + y = 0 The solution to this equation could not be determined.
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