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Simplifying (2x + -1) + (6 + -3y) * i = 7 + -6i Reorder the terms: (-1 + 2x) + (6 + -3y) * i = 7 + -6i Remove parenthesis around (-1 + 2x) -1 + 2x + (6 + -3y) * i = 7 + -6i Reorder the terms for easier multiplication: -1 + 2x + i(6 + -3y) = 7 + -6i -1 + 2x + (6 * i + -3y * i) = 7 + -6i -1 + 2x + (6i + -3iy) = 7 + -6i Reorder the terms: -1 + 6i + -3iy + 2x = 7 + -6i Solving -1 + 6i + -3iy + 2x = 7 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. -1 + 6i + -3iy + 6i + 2x = 7 + -6i + 6i Reorder the terms: -1 + 6i + 6i + -3iy + 2x = 7 + -6i + 6i Combine like terms: 6i + 6i = 12i -1 + 12i + -3iy + 2x = 7 + -6i + 6i Combine like terms: -6i + 6i = 0 -1 + 12i + -3iy + 2x = 7 + 0 -1 + 12i + -3iy + 2x = 7 Add '1' to each side of the equation. -1 + 12i + -3iy + 1 + 2x = 7 + 1 Reorder the terms: -1 + 1 + 12i + -3iy + 2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 12i + -3iy + 2x = 7 + 1 12i + -3iy + 2x = 7 + 1 Combine like terms: 7 + 1 = 8 12i + -3iy + 2x = 8 Add '-2x' to each side of the equation. 12i + -3iy + 2x + -2x = 8 + -2x Combine like terms: 2x + -2x = 0 12i + -3iy + 0 = 8 + -2x 12i + -3iy = 8 + -2x Reorder the terms: -8 + 12i + -3iy + 2x = 8 + -2x + -8 + 2x Reorder the terms: -8 + 12i + -3iy + 2x = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -8 + 12i + -3iy + 2x = 0 + -2x + 2x -8 + 12i + -3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 12i + -3iy + 2x = 0 The solution to this equation could not be determined.
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