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Simplifying (2a + 3b + -1c) + (5a + -1c + b) + (4b + -1ba) = 0 Remove parenthesis around (2a + 3b + -1c) 2a + 3b + -1c + (5a + -1c + b) + (4b + -1ba) = 0 Reorder the terms: 2a + 3b + -1c + (5a + b + -1c) + (4b + -1ba) = 0 Remove parenthesis around (5a + b + -1c) 2a + 3b + -1c + 5a + b + -1c + (4b + -1ba) = 0 Reorder the terms: 2a + 3b + -1c + 5a + b + -1c + (-1ab + 4b) = 0 Remove parenthesis around (-1ab + 4b) 2a + 3b + -1c + 5a + b + -1c + -1ab + 4b = 0 Reorder the terms: 2a + 5a + -1ab + 3b + b + 4b + -1c + -1c = 0 Combine like terms: 2a + 5a = 7a 7a + -1ab + 3b + b + 4b + -1c + -1c = 0 Combine like terms: 3b + b = 4b 7a + -1ab + 4b + 4b + -1c + -1c = 0 Combine like terms: 4b + 4b = 8b 7a + -1ab + 8b + -1c + -1c = 0 Combine like terms: -1c + -1c = -2c 7a + -1ab + 8b + -2c = 0 Solving 7a + -1ab + 8b + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 7a + -1ab + 8b + -8b + -2c = 0 + -8b Combine like terms: 8b + -8b = 0 7a + -1ab + 0 + -2c = 0 + -8b 7a + -1ab + -2c = 0 + -8b Remove the zero: 7a + -1ab + -2c = -8b Add '2c' to each side of the equation. 7a + -1ab + -2c + 2c = -8b + 2c Combine like terms: -2c + 2c = 0 7a + -1ab + 0 = -8b + 2c 7a + -1ab = -8b + 2c Reorder the terms: 7a + -1ab + 8b + -2c = -8b + 8b + 2c + -2c Combine like terms: -8b + 8b = 0 7a + -1ab + 8b + -2c = 0 + 2c + -2c 7a + -1ab + 8b + -2c = 2c + -2c Combine like terms: 2c + -2c = 0 7a + -1ab + 8b + -2c = 0 The solution to this equation could not be determined.
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