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Simplifying (3a + -2b + c) + (-6a + -1b + -2c) + (2a + 3b + -1c) = 0 Remove parenthesis around (3a + -2b + c) 3a + -2b + c + (-6a + -1b + -2c) + (2a + 3b + -1c) = 0 Remove parenthesis around (-6a + -1b + -2c) 3a + -2b + c + -6a + -1b + -2c + (2a + 3b + -1c) = 0 Remove parenthesis around (2a + 3b + -1c) 3a + -2b + c + -6a + -1b + -2c + 2a + 3b + -1c = 0 Reorder the terms: 3a + -6a + 2a + -2b + -1b + 3b + c + -2c + -1c = 0 Combine like terms: 3a + -6a = -3a -3a + 2a + -2b + -1b + 3b + c + -2c + -1c = 0 Combine like terms: -3a + 2a = -1a -1a + -2b + -1b + 3b + c + -2c + -1c = 0 Combine like terms: -2b + -1b = -3b -1a + -3b + 3b + c + -2c + -1c = 0 Combine like terms: -3b + 3b = 0 -1a + 0 + c + -2c + -1c = 0 -1a + c + -2c + -1c = 0 Combine like terms: c + -2c = -1c -1a + -1c + -1c = 0 Combine like terms: -1c + -1c = -2c -1a + -2c = 0 Solving -1a + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. -1a + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 -1a + 0 = 0 + 2c -1a = 0 + 2c Remove the zero: -1a = 2c Divide each side by '-1'. a = -2c Simplifying a = -2c
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