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Simplifying (x + -3) + -5yi = 12 + (3y + 24) * i Reorder the terms: (-3 + x) + -5yi = 12 + (3y + 24) * i Remove parenthesis around (-3 + x) -3 + x + -5yi = 12 + (3y + 24) * i Reorder the terms: -3 + -5iy + x = 12 + (3y + 24) * i Reorder the terms: -3 + -5iy + x = 12 + (24 + 3y) * i Reorder the terms for easier multiplication: -3 + -5iy + x = 12 + i(24 + 3y) -3 + -5iy + x = 12 + (24 * i + 3y * i) -3 + -5iy + x = 12 + (24i + 3iy) Solving -3 + -5iy + x = 12 + 24i + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. -3 + -5iy + -24i + x = 12 + 24i + -24i + 3iy Reorder the terms: -3 + -24i + -5iy + x = 12 + 24i + -24i + 3iy Combine like terms: 24i + -24i = 0 -3 + -24i + -5iy + x = 12 + 0 + 3iy -3 + -24i + -5iy + x = 12 + 3iy Add '-3iy' to each side of the equation. -3 + -24i + -5iy + -3iy + x = 12 + 3iy + -3iy Combine like terms: -5iy + -3iy = -8iy -3 + -24i + -8iy + x = 12 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 -3 + -24i + -8iy + x = 12 + 0 -3 + -24i + -8iy + x = 12 Add '3' to each side of the equation. -3 + -24i + -8iy + 3 + x = 12 + 3 Reorder the terms: -3 + 3 + -24i + -8iy + x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -24i + -8iy + x = 12 + 3 -24i + -8iy + x = 12 + 3 Combine like terms: 12 + 3 = 15 -24i + -8iy + x = 15 Add '-1x' to each side of the equation. -24i + -8iy + x + -1x = 15 + -1x Combine like terms: x + -1x = 0 -24i + -8iy + 0 = 15 + -1x -24i + -8iy = 15 + -1x Reorder the terms: -15 + -24i + -8iy + x = 15 + -1x + -15 + x Reorder the terms: -15 + -24i + -8iy + x = 15 + -15 + -1x + x Combine like terms: 15 + -15 = 0 -15 + -24i + -8iy + x = 0 + -1x + x -15 + -24i + -8iy + x = -1x + x Combine like terms: -1x + x = 0 -15 + -24i + -8iy + x = 0 The solution to this equation could not be determined.
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