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Simplifying 6a + 4a + 8c + 2b + 2c + 1a = 0 Reorder the terms: 6a + 4a + 1a + 2b + 8c + 2c = 0 Combine like terms: 6a + 4a = 10a 10a + 1a + 2b + 8c + 2c = 0 Combine like terms: 10a + 1a = 11a 11a + 2b + 8c + 2c = 0 Combine like terms: 8c + 2c = 10c 11a + 2b + 10c = 0 Solving 11a + 2b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 11a + 2b + -2b + 10c = 0 + -2b Combine like terms: 2b + -2b = 0 11a + 0 + 10c = 0 + -2b 11a + 10c = 0 + -2b Remove the zero: 11a + 10c = -2b Add '-10c' to each side of the equation. 11a + 10c + -10c = -2b + -10c Combine like terms: 10c + -10c = 0 11a + 0 = -2b + -10c 11a = -2b + -10c Divide each side by '11'. a = -0.1818181818b + -0.9090909091c Simplifying a = -0.1818181818b + -0.9090909091c
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