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Simplifying 11a + 11b + 6c + 4c + -2b + -2a = 0 Reorder the terms: 11a + -2a + 11b + -2b + 6c + 4c = 0 Combine like terms: 11a + -2a = 9a 9a + 11b + -2b + 6c + 4c = 0 Combine like terms: 11b + -2b = 9b 9a + 9b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 9a + 9b + 10c = 0 Solving 9a + 9b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 9a + 9b + -9b + 10c = 0 + -9b Combine like terms: 9b + -9b = 0 9a + 0 + 10c = 0 + -9b 9a + 10c = 0 + -9b Remove the zero: 9a + 10c = -9b Add '-10c' to each side of the equation. 9a + 10c + -10c = -9b + -10c Combine like terms: 10c + -10c = 0 9a + 0 = -9b + -10c 9a = -9b + -10c Divide each side by '9'. a = -1b + -1.111111111c Simplifying a = -1b + -1.111111111c
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