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Simplifying (a + b + 5) * x + (2a + -3b + -5) * y = 0 Reorder the terms: (5 + a + b) * x + (2a + -3b + -5) * y = 0 Reorder the terms for easier multiplication: x(5 + a + b) + (2a + -3b + -5) * y = 0 (5 * x + a * x + b * x) + (2a + -3b + -5) * y = 0 Reorder the terms: (ax + bx + 5x) + (2a + -3b + -5) * y = 0 (ax + bx + 5x) + (2a + -3b + -5) * y = 0 Reorder the terms: ax + bx + 5x + (-5 + 2a + -3b) * y = 0 Reorder the terms for easier multiplication: ax + bx + 5x + y(-5 + 2a + -3b) = 0 ax + bx + 5x + (-5 * y + 2a * y + -3b * y) = 0 Reorder the terms: ax + bx + 5x + (2ay + -3by + -5y) = 0 ax + bx + 5x + (2ay + -3by + -5y) = 0 Reorder the terms: ax + 2ay + bx + -3by + 5x + -5y = 0 Solving ax + 2ay + bx + -3by + 5x + -5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax + 2ay + bx + -3by + 5x + -1bx + -5y = 0 + -1bx Reorder the terms: ax + 2ay + bx + -1bx + -3by + 5x + -5y = 0 + -1bx Combine like terms: bx + -1bx = 0 ax + 2ay + 0 + -3by + 5x + -5y = 0 + -1bx ax + 2ay + -3by + 5x + -5y = 0 + -1bx Remove the zero: ax + 2ay + -3by + 5x + -5y = -1bx Add '3by' to each side of the equation. ax + 2ay + -3by + 5x + 3by + -5y = -1bx + 3by Reorder the terms: ax + 2ay + -3by + 3by + 5x + -5y = -1bx + 3by Combine like terms: -3by + 3by = 0 ax + 2ay + 0 + 5x + -5y = -1bx + 3by ax + 2ay + 5x + -5y = -1bx + 3by Add '-5x' to each side of the equation. ax + 2ay + 5x + -5x + -5y = -1bx + 3by + -5x Combine like terms: 5x + -5x = 0 ax + 2ay + 0 + -5y = -1bx + 3by + -5x ax + 2ay + -5y = -1bx + 3by + -5x Add '5y' to each side of the equation. ax + 2ay + -5y + 5y = -1bx + 3by + -5x + 5y Combine like terms: -5y + 5y = 0 ax + 2ay + 0 = -1bx + 3by + -5x + 5y ax + 2ay = -1bx + 3by + -5x + 5y Reorder the terms: ax + 2ay + bx + -3by + 5x + -5y = -1bx + bx + 3by + -3by + -5x + 5x + 5y + -5y Combine like terms: -1bx + bx = 0 ax + 2ay + bx + -3by + 5x + -5y = 0 + 3by + -3by + -5x + 5x + 5y + -5y ax + 2ay + bx + -3by + 5x + -5y = 3by + -3by + -5x + 5x + 5y + -5y Combine like terms: 3by + -3by = 0 ax + 2ay + bx + -3by + 5x + -5y = 0 + -5x + 5x + 5y + -5y ax + 2ay + bx + -3by + 5x + -5y = -5x + 5x + 5y + -5y Combine like terms: -5x + 5x = 0 ax + 2ay + bx + -3by + 5x + -5y = 0 + 5y + -5y ax + 2ay + bx + -3by + 5x + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 ax + 2ay + bx + -3by + 5x + -5y = 0 The solution to this equation could not be determined.
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