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Simplifying (4x + -8) + (6y + 18) * i = -32 + -3yi Reorder the terms: (-8 + 4x) + (6y + 18) * i = -32 + -3yi Remove parenthesis around (-8 + 4x) -8 + 4x + (6y + 18) * i = -32 + -3yi Reorder the terms: -8 + 4x + (18 + 6y) * i = -32 + -3yi Reorder the terms for easier multiplication: -8 + 4x + i(18 + 6y) = -32 + -3yi -8 + 4x + (18 * i + 6y * i) = -32 + -3yi -8 + 4x + (18i + 6iy) = -32 + -3yi Reorder the terms: -8 + 18i + 6iy + 4x = -32 + -3yi Solving -8 + 18i + 6iy + 4x = -32 + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3iy' to each side of the equation. -8 + 18i + 6iy + 3iy + 4x = -32 + -3iy + 3iy Combine like terms: 6iy + 3iy = 9iy -8 + 18i + 9iy + 4x = -32 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 -8 + 18i + 9iy + 4x = -32 + 0 -8 + 18i + 9iy + 4x = -32 Add '8' to each side of the equation. -8 + 18i + 9iy + 8 + 4x = -32 + 8 Reorder the terms: -8 + 8 + 18i + 9iy + 4x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 18i + 9iy + 4x = -32 + 8 18i + 9iy + 4x = -32 + 8 Combine like terms: -32 + 8 = -24 18i + 9iy + 4x = -24 Add '-4x' to each side of the equation. 18i + 9iy + 4x + -4x = -24 + -4x Combine like terms: 4x + -4x = 0 18i + 9iy + 0 = -24 + -4x 18i + 9iy = -24 + -4x Reorder the terms: 24 + 18i + 9iy + 4x = -24 + -4x + 24 + 4x Reorder the terms: 24 + 18i + 9iy + 4x = -24 + 24 + -4x + 4x Combine like terms: -24 + 24 = 0 24 + 18i + 9iy + 4x = 0 + -4x + 4x 24 + 18i + 9iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 24 + 18i + 9iy + 4x = 0 The solution to this equation could not be determined.
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