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Simplifying (6 + -1x) + (3y) * i = -12 + 27i Remove parenthesis around (6 + -1x) 6 + -1x + (3y) * i = -12 + 27i Remove parenthesis around (3y) 6 + -1x + 3y * i = -12 + 27i Multiply y * i 6 + -1x + 3iy = -12 + 27i Reorder the terms: 6 + 3iy + -1x = -12 + 27i Solving 6 + 3iy + -1x = -12 + 27i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-27i' to each side of the equation. 6 + 3iy + -27i + -1x = -12 + 27i + -27i Reorder the terms: 6 + -27i + 3iy + -1x = -12 + 27i + -27i Combine like terms: 27i + -27i = 0 6 + -27i + 3iy + -1x = -12 + 0 6 + -27i + 3iy + -1x = -12 Add '-6' to each side of the equation. 6 + -27i + 3iy + -6 + -1x = -12 + -6 Reorder the terms: 6 + -6 + -27i + 3iy + -1x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -27i + 3iy + -1x = -12 + -6 -27i + 3iy + -1x = -12 + -6 Combine like terms: -12 + -6 = -18 -27i + 3iy + -1x = -18 Add 'x' to each side of the equation. -27i + 3iy + -1x + x = -18 + x Combine like terms: -1x + x = 0 -27i + 3iy + 0 = -18 + x -27i + 3iy = -18 + x Reorder the terms: 18 + -27i + 3iy + -1x = -18 + x + 18 + -1x Reorder the terms: 18 + -27i + 3iy + -1x = -18 + 18 + x + -1x Combine like terms: -18 + 18 = 0 18 + -27i + 3iy + -1x = 0 + x + -1x 18 + -27i + 3iy + -1x = x + -1x Combine like terms: x + -1x = 0 18 + -27i + 3iy + -1x = 0 The solution to this equation could not be determined.
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