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Simplifying 19 + 12i = (x + -5) + (20 + -2y) * i Reorder the terms: 19 + 12i = (-5 + x) + (20 + -2y) * i Remove parenthesis around (-5 + x) 19 + 12i = -5 + x + (20 + -2y) * i Reorder the terms for easier multiplication: 19 + 12i = -5 + x + i(20 + -2y) 19 + 12i = -5 + x + (20 * i + -2y * i) 19 + 12i = -5 + x + (20i + -2iy) Reorder the terms: 19 + 12i = -5 + 20i + -2iy + x Solving 19 + 12i = -5 + 20i + -2iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20i' to each side of the equation. 19 + 12i + -20i = -5 + 20i + -2iy + -20i + x Combine like terms: 12i + -20i = -8i 19 + -8i = -5 + 20i + -2iy + -20i + x Reorder the terms: 19 + -8i = -5 + 20i + -20i + -2iy + x Combine like terms: 20i + -20i = 0 19 + -8i = -5 + 0 + -2iy + x 19 + -8i = -5 + -2iy + x Add '2iy' to each side of the equation. 19 + -8i + 2iy = -5 + -2iy + 2iy + x Combine like terms: -2iy + 2iy = 0 19 + -8i + 2iy = -5 + 0 + x 19 + -8i + 2iy = -5 + x Add '-19' to each side of the equation. 19 + -8i + -19 + 2iy = -5 + -19 + x Reorder the terms: 19 + -19 + -8i + 2iy = -5 + -19 + x Combine like terms: 19 + -19 = 0 0 + -8i + 2iy = -5 + -19 + x -8i + 2iy = -5 + -19 + x Combine like terms: -5 + -19 = -24 -8i + 2iy = -24 + x Reorder the terms: 24 + -8i + 2iy + -1x = -24 + x + 24 + -1x Reorder the terms: 24 + -8i + 2iy + -1x = -24 + 24 + x + -1x Combine like terms: -24 + 24 = 0 24 + -8i + 2iy + -1x = 0 + x + -1x 24 + -8i + 2iy + -1x = x + -1x Combine like terms: x + -1x = 0 24 + -8i + 2iy + -1x = 0 The solution to this equation could not be determined.
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