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Simplifying (3a + 2b + -1c) + (4b + 3a + -2c) = 6b + -3c Remove parenthesis around (3a + 2b + -1c) 3a + 2b + -1c + (4b + 3a + -2c) = 6b + -3c Reorder the terms: 3a + 2b + -1c + (3a + 4b + -2c) = 6b + -3c Remove parenthesis around (3a + 4b + -2c) 3a + 2b + -1c + 3a + 4b + -2c = 6b + -3c Reorder the terms: 3a + 3a + 2b + 4b + -1c + -2c = 6b + -3c Combine like terms: 3a + 3a = 6a 6a + 2b + 4b + -1c + -2c = 6b + -3c Combine like terms: 2b + 4b = 6b 6a + 6b + -1c + -2c = 6b + -3c Combine like terms: -1c + -2c = -3c 6a + 6b + -3c = 6b + -3c Add '-6b' to each side of the equation. 6a + 6b + -6b + -3c = 6b + -6b + -3c Combine like terms: 6b + -6b = 0 6a + 0 + -3c = 6b + -6b + -3c 6a + -3c = 6b + -6b + -3c Combine like terms: 6b + -6b = 0 6a + -3c = 0 + -3c 6a + -3c = -3c Add '3c' to each side of the equation. 6a + -3c + 3c = -3c + 3c Combine like terms: -3c + 3c = 0 6a + 0 = -3c + 3c 6a = -3c + 3c Combine like terms: -3c + 3c = 0 6a = 0 Solving 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '6'. a = 0 Simplifying a = 0
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