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Simplifying (4x + 3y) + (2x + -1y) * i = 3 + -16 Remove parenthesis around (4x + 3y) 4x + 3y + (2x + -1y) * i = 3 + -16 Reorder the terms for easier multiplication: 4x + 3y + i(2x + -1y) = 3 + -16 4x + 3y + (2x * i + -1y * i) = 3 + -16 4x + 3y + (2ix + -1iy) = 3 + -16 Reorder the terms: 2ix + -1iy + 4x + 3y = 3 + -16 Combine like terms: 3 + -16 = -13 2ix + -1iy + 4x + 3y = -13 Solving 2ix + -1iy + 4x + 3y = -13 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4x' to each side of the equation. 2ix + -1iy + 4x + -4x + 3y = -13 + -4x Combine like terms: 4x + -4x = 0 2ix + -1iy + 0 + 3y = -13 + -4x 2ix + -1iy + 3y = -13 + -4x Add '-3y' to each side of the equation. 2ix + -1iy + 3y + -3y = -13 + -4x + -3y Combine like terms: 3y + -3y = 0 2ix + -1iy + 0 = -13 + -4x + -3y 2ix + -1iy = -13 + -4x + -3y Reorder the terms: 13 + 2ix + -1iy + 4x + 3y = -13 + -4x + -3y + 13 + 4x + 3y Reorder the terms: 13 + 2ix + -1iy + 4x + 3y = -13 + 13 + -4x + 4x + -3y + 3y Combine like terms: -13 + 13 = 0 13 + 2ix + -1iy + 4x + 3y = 0 + -4x + 4x + -3y + 3y 13 + 2ix + -1iy + 4x + 3y = -4x + 4x + -3y + 3y Combine like terms: -4x + 4x = 0 13 + 2ix + -1iy + 4x + 3y = 0 + -3y + 3y 13 + 2ix + -1iy + 4x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 13 + 2ix + -1iy + 4x + 3y = 0 The solution to this equation could not be determined.
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