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Simplifying (2x + -1) + (3y + 2) * i = 5 + -4i Reorder the terms: (-1 + 2x) + (3y + 2) * i = 5 + -4i Remove parenthesis around (-1 + 2x) -1 + 2x + (3y + 2) * i = 5 + -4i Reorder the terms: -1 + 2x + (2 + 3y) * i = 5 + -4i Reorder the terms for easier multiplication: -1 + 2x + i(2 + 3y) = 5 + -4i -1 + 2x + (2 * i + 3y * i) = 5 + -4i -1 + 2x + (2i + 3iy) = 5 + -4i Reorder the terms: -1 + 2i + 3iy + 2x = 5 + -4i Solving -1 + 2i + 3iy + 2x = 5 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. -1 + 2i + 3iy + 4i + 2x = 5 + -4i + 4i Reorder the terms: -1 + 2i + 4i + 3iy + 2x = 5 + -4i + 4i Combine like terms: 2i + 4i = 6i -1 + 6i + 3iy + 2x = 5 + -4i + 4i Combine like terms: -4i + 4i = 0 -1 + 6i + 3iy + 2x = 5 + 0 -1 + 6i + 3iy + 2x = 5 Add '1' to each side of the equation. -1 + 6i + 3iy + 1 + 2x = 5 + 1 Reorder the terms: -1 + 1 + 6i + 3iy + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 6i + 3iy + 2x = 5 + 1 6i + 3iy + 2x = 5 + 1 Combine like terms: 5 + 1 = 6 6i + 3iy + 2x = 6 Add '-2x' to each side of the equation. 6i + 3iy + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 6i + 3iy + 0 = 6 + -2x 6i + 3iy = 6 + -2x Reorder the terms: -6 + 6i + 3iy + 2x = 6 + -2x + -6 + 2x Reorder the terms: -6 + 6i + 3iy + 2x = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + 6i + 3iy + 2x = 0 + -2x + 2x -6 + 6i + 3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6i + 3iy + 2x = 0 The solution to this equation could not be determined.
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