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Simplifying (3a + 4b + -1c) + (-2a + 4b + 3c) = 0 Remove parenthesis around (3a + 4b + -1c) 3a + 4b + -1c + (-2a + 4b + 3c) = 0 Remove parenthesis around (-2a + 4b + 3c) 3a + 4b + -1c + -2a + 4b + 3c = 0 Reorder the terms: 3a + -2a + 4b + 4b + -1c + 3c = 0 Combine like terms: 3a + -2a = 1a 1a + 4b + 4b + -1c + 3c = 0 Combine like terms: 4b + 4b = 8b 1a + 8b + -1c + 3c = 0 Combine like terms: -1c + 3c = 2c 1a + 8b + 2c = 0 Solving 1a + 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. 1a + 8b + -8b + 2c = 0 + -8b Combine like terms: 8b + -8b = 0 1a + 0 + 2c = 0 + -8b 1a + 2c = 0 + -8b Remove the zero: 1a + 2c = -8b Add '-2c' to each side of the equation. 1a + 2c + -2c = -8b + -2c Combine like terms: 2c + -2c = 0 1a + 0 = -8b + -2c 1a = -8b + -2c Divide each side by '1'. a = -8b + -2c Simplifying a = -8b + -2c
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