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Simplifying 3x + 4y + -7i = 18 + (x + -3y) * i Reorder the terms: -7i + 3x + 4y = 18 + (x + -3y) * i Reorder the terms for easier multiplication: -7i + 3x + 4y = 18 + i(x + -3y) -7i + 3x + 4y = 18 + (x * i + -3y * i) -7i + 3x + 4y = 18 + (ix + -3iy) Solving -7i + 3x + 4y = 18 + ix + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ix' to each side of the equation. -7i + 3x + -1ix + 4y = 18 + ix + -1ix + -3iy Reorder the terms: -7i + -1ix + 3x + 4y = 18 + ix + -1ix + -3iy Combine like terms: ix + -1ix = 0 -7i + -1ix + 3x + 4y = 18 + 0 + -3iy -7i + -1ix + 3x + 4y = 18 + -3iy Add '3iy' to each side of the equation. -7i + -1ix + 3x + 3iy + 4y = 18 + -3iy + 3iy Reorder the terms: -7i + -1ix + 3iy + 3x + 4y = 18 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 -7i + -1ix + 3iy + 3x + 4y = 18 + 0 -7i + -1ix + 3iy + 3x + 4y = 18 Add '-3x' to each side of the equation. -7i + -1ix + 3iy + 3x + -3x + 4y = 18 + -3x Combine like terms: 3x + -3x = 0 -7i + -1ix + 3iy + 0 + 4y = 18 + -3x -7i + -1ix + 3iy + 4y = 18 + -3x Add '-4y' to each side of the equation. -7i + -1ix + 3iy + 4y + -4y = 18 + -3x + -4y Combine like terms: 4y + -4y = 0 -7i + -1ix + 3iy + 0 = 18 + -3x + -4y -7i + -1ix + 3iy = 18 + -3x + -4y Reorder the terms: -18 + -7i + -1ix + 3iy + 3x + 4y = 18 + -3x + -4y + -18 + 3x + 4y Reorder the terms: -18 + -7i + -1ix + 3iy + 3x + 4y = 18 + -18 + -3x + 3x + -4y + 4y Combine like terms: 18 + -18 = 0 -18 + -7i + -1ix + 3iy + 3x + 4y = 0 + -3x + 3x + -4y + 4y -18 + -7i + -1ix + 3iy + 3x + 4y = -3x + 3x + -4y + 4y Combine like terms: -3x + 3x = 0 -18 + -7i + -1ix + 3iy + 3x + 4y = 0 + -4y + 4y -18 + -7i + -1ix + 3iy + 3x + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -18 + -7i + -1ix + 3iy + 3x + 4y = 0 The solution to this equation could not be determined.
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