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Simplifying 5 + y(3x + -7) * i = 9 + -3i Reorder the terms: 5 + y(-7 + 3x) * i = 9 + -3i Reorder the terms for easier multiplication: 5 + y * i(-7 + 3x) = 9 + -3i Multiply y * i 5 + iy(-7 + 3x) = 9 + -3i 5 + (-7 * iy + 3x * iy) = 9 + -3i Reorder the terms: 5 + (3ixy + -7iy) = 9 + -3i 5 + (3ixy + -7iy) = 9 + -3i Solving 5 + 3ixy + -7iy = 9 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 5 + 3ixy + 3i + -7iy = 9 + -3i + 3i Reorder the terms: 5 + 3i + 3ixy + -7iy = 9 + -3i + 3i Combine like terms: -3i + 3i = 0 5 + 3i + 3ixy + -7iy = 9 + 0 5 + 3i + 3ixy + -7iy = 9 Add '-5' to each side of the equation. 5 + 3i + 3ixy + -5 + -7iy = 9 + -5 Reorder the terms: 5 + -5 + 3i + 3ixy + -7iy = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 3i + 3ixy + -7iy = 9 + -5 3i + 3ixy + -7iy = 9 + -5 Combine like terms: 9 + -5 = 4 3i + 3ixy + -7iy = 4 Reorder the terms: -4 + 3i + 3ixy + -7iy = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 3i + 3ixy + -7iy = 0 The solution to this equation could not be determined.
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