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Simplifying 12a + 11b + 2c + 6c + -2b + -4a = 0 Reorder the terms: 12a + -4a + 11b + -2b + 2c + 6c = 0 Combine like terms: 12a + -4a = 8a 8a + 11b + -2b + 2c + 6c = 0 Combine like terms: 11b + -2b = 9b 8a + 9b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 8a + 9b + 8c = 0 Solving 8a + 9b + 8c = 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. 8a + 9b + -9b + 8c = 0 + -9b Combine like terms: 9b + -9b = 0 8a + 0 + 8c = 0 + -9b 8a + 8c = 0 + -9b Remove the zero: 8a + 8c = -9b Add '-8c' to each side of the equation. 8a + 8c + -8c = -9b + -8c Combine like terms: 8c + -8c = 0 8a + 0 = -9b + -8c 8a = -9b + -8c Divide each side by '8'. a = -1.125b + -1c Simplifying a = -1.125b + -1c
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