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