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Simplifying 4x + -10 + (y + -9) * i = 1 + 9i Reorder the terms: 4x + -10 + (-9 + y) * i = 1 + 9i Reorder the terms for easier multiplication: 4x + -10 + i(-9 + y) = 1 + 9i 4x + -10 + (-9 * i + y * i) = 1 + 9i 4x + -10 + (-9i + iy) = 1 + 9i Reorder the terms: -10 + -9i + iy + 4x = 1 + 9i Solving -10 + -9i + iy + 4x = 1 + 9i 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. -10 + -9i + iy + -9i + 4x = 1 + 9i + -9i Reorder the terms: -10 + -9i + -9i + iy + 4x = 1 + 9i + -9i Combine like terms: -9i + -9i = -18i -10 + -18i + iy + 4x = 1 + 9i + -9i Combine like terms: 9i + -9i = 0 -10 + -18i + iy + 4x = 1 + 0 -10 + -18i + iy + 4x = 1 Add '10' to each side of the equation. -10 + -18i + iy + 10 + 4x = 1 + 10 Reorder the terms: -10 + 10 + -18i + iy + 4x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -18i + iy + 4x = 1 + 10 -18i + iy + 4x = 1 + 10 Combine like terms: 1 + 10 = 11 -18i + iy + 4x = 11 Add '-4x' to each side of the equation. -18i + iy + 4x + -4x = 11 + -4x Combine like terms: 4x + -4x = 0 -18i + iy + 0 = 11 + -4x -18i + iy = 11 + -4x Reorder the terms: -11 + -18i + iy + 4x = 11 + -4x + -11 + 4x Reorder the terms: -11 + -18i + iy + 4x = 11 + -11 + -4x + 4x Combine like terms: 11 + -11 = 0 -11 + -18i + iy + 4x = 0 + -4x + 4x -11 + -18i + iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -11 + -18i + iy + 4x = 0 The solution to this equation could not be determined.
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