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Simplifying (5x + 9y) + 12i = -8 + (15x + -9y) * i Remove parenthesis around (5x + 9y) 5x + 9y + 12i = -8 + (15x + -9y) * i Reorder the terms: 12i + 5x + 9y = -8 + (15x + -9y) * i Reorder the terms for easier multiplication: 12i + 5x + 9y = -8 + i(15x + -9y) 12i + 5x + 9y = -8 + (15x * i + -9y * i) 12i + 5x + 9y = -8 + (15ix + -9iy) Solving 12i + 5x + 9y = -8 + 15ix + -9iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15ix' to each side of the equation. 12i + 5x + -15ix + 9y = -8 + 15ix + -15ix + -9iy Reorder the terms: 12i + -15ix + 5x + 9y = -8 + 15ix + -15ix + -9iy Combine like terms: 15ix + -15ix = 0 12i + -15ix + 5x + 9y = -8 + 0 + -9iy 12i + -15ix + 5x + 9y = -8 + -9iy Add '9iy' to each side of the equation. 12i + -15ix + 5x + 9iy + 9y = -8 + -9iy + 9iy Reorder the terms: 12i + -15ix + 9iy + 5x + 9y = -8 + -9iy + 9iy Combine like terms: -9iy + 9iy = 0 12i + -15ix + 9iy + 5x + 9y = -8 + 0 12i + -15ix + 9iy + 5x + 9y = -8 Add '-5x' to each side of the equation. 12i + -15ix + 9iy + 5x + -5x + 9y = -8 + -5x Combine like terms: 5x + -5x = 0 12i + -15ix + 9iy + 0 + 9y = -8 + -5x 12i + -15ix + 9iy + 9y = -8 + -5x Add '-9y' to each side of the equation. 12i + -15ix + 9iy + 9y + -9y = -8 + -5x + -9y Combine like terms: 9y + -9y = 0 12i + -15ix + 9iy + 0 = -8 + -5x + -9y 12i + -15ix + 9iy = -8 + -5x + -9y Reorder the terms: 8 + 12i + -15ix + 9iy + 5x + 9y = -8 + -5x + -9y + 8 + 5x + 9y Reorder the terms: 8 + 12i + -15ix + 9iy + 5x + 9y = -8 + 8 + -5x + 5x + -9y + 9y Combine like terms: -8 + 8 = 0 8 + 12i + -15ix + 9iy + 5x + 9y = 0 + -5x + 5x + -9y + 9y 8 + 12i + -15ix + 9iy + 5x + 9y = -5x + 5x + -9y + 9y Combine like terms: -5x + 5x = 0 8 + 12i + -15ix + 9iy + 5x + 9y = 0 + -9y + 9y 8 + 12i + -15ix + 9iy + 5x + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 8 + 12i + -15ix + 9iy + 5x + 9y = 0 The solution to this equation could not be determined.
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