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Simplifying x + 3y + 2(2x + -3y + -9) * i = 0 Reorder the terms: x + 3y + 2(-9 + 2x + -3y) * i = 0 Reorder the terms for easier multiplication: x + 3y + 2i(-9 + 2x + -3y) = 0 x + 3y + (-9 * 2i + 2x * 2i + -3y * 2i) = 0 x + 3y + (-18i + 4ix + -6iy) = 0 Reorder the terms: -18i + 4ix + -6iy + x + 3y = 0 Solving -18i + 4ix + -6iy + x + 3y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -18i + 4ix + -6iy + x + -1x + 3y = 0 + -1x Combine like terms: x + -1x = 0 -18i + 4ix + -6iy + 0 + 3y = 0 + -1x -18i + 4ix + -6iy + 3y = 0 + -1x Remove the zero: -18i + 4ix + -6iy + 3y = -1x Add '-3y' to each side of the equation. -18i + 4ix + -6iy + 3y + -3y = -1x + -3y Combine like terms: 3y + -3y = 0 -18i + 4ix + -6iy + 0 = -1x + -3y -18i + 4ix + -6iy = -1x + -3y Reorder the terms: -18i + 4ix + -6iy + x + 3y = -1x + x + -3y + 3y Combine like terms: -1x + x = 0 -18i + 4ix + -6iy + x + 3y = 0 + -3y + 3y -18i + 4ix + -6iy + x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -18i + 4ix + -6iy + x + 3y = 0 The solution to this equation could not be determined.
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