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Simplifying (x + -4y) + (2x + -3y) * i = 13 + -7i Remove parenthesis around (x + -4y) x + -4y + (2x + -3y) * i = 13 + -7i Reorder the terms for easier multiplication: x + -4y + i(2x + -3y) = 13 + -7i x + -4y + (2x * i + -3y * i) = 13 + -7i x + -4y + (2ix + -3iy) = 13 + -7i Reorder the terms: 2ix + -3iy + x + -4y = 13 + -7i Solving 2ix + -3iy + x + -4y = 13 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 2ix + -3iy + x + 7i + -4y = 13 + -7i + 7i Reorder the terms: 7i + 2ix + -3iy + x + -4y = 13 + -7i + 7i Combine like terms: -7i + 7i = 0 7i + 2ix + -3iy + x + -4y = 13 + 0 7i + 2ix + -3iy + x + -4y = 13 Add '-1x' to each side of the equation. 7i + 2ix + -3iy + x + -1x + -4y = 13 + -1x Combine like terms: x + -1x = 0 7i + 2ix + -3iy + 0 + -4y = 13 + -1x 7i + 2ix + -3iy + -4y = 13 + -1x Add '4y' to each side of the equation. 7i + 2ix + -3iy + -4y + 4y = 13 + -1x + 4y Combine like terms: -4y + 4y = 0 7i + 2ix + -3iy + 0 = 13 + -1x + 4y 7i + 2ix + -3iy = 13 + -1x + 4y Reorder the terms: -13 + 7i + 2ix + -3iy + x + -4y = 13 + -1x + 4y + -13 + x + -4y Reorder the terms: -13 + 7i + 2ix + -3iy + x + -4y = 13 + -13 + -1x + x + 4y + -4y Combine like terms: 13 + -13 = 0 -13 + 7i + 2ix + -3iy + x + -4y = 0 + -1x + x + 4y + -4y -13 + 7i + 2ix + -3iy + x + -4y = -1x + x + 4y + -4y Combine like terms: -1x + x = 0 -13 + 7i + 2ix + -3iy + x + -4y = 0 + 4y + -4y -13 + 7i + 2ix + -3iy + x + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -13 + 7i + 2ix + -3iy + x + -4y = 0 The solution to this equation could not be determined.
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