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