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Simplifying 12a + 16b + 6c + 5c + -2b + -6a = 0 Reorder the terms: 12a + -6a + 16b + -2b + 6c + 5c = 0 Combine like terms: 12a + -6a = 6a 6a + 16b + -2b + 6c + 5c = 0 Combine like terms: 16b + -2b = 14b 6a + 14b + 6c + 5c = 0 Combine like terms: 6c + 5c = 11c 6a + 14b + 11c = 0 Solving 6a + 14b + 11c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 6a + 14b + -14b + 11c = 0 + -14b Combine like terms: 14b + -14b = 0 6a + 0 + 11c = 0 + -14b 6a + 11c = 0 + -14b Remove the zero: 6a + 11c = -14b Add '-11c' to each side of the equation. 6a + 11c + -11c = -14b + -11c Combine like terms: 11c + -11c = 0 6a + 0 = -14b + -11c 6a = -14b + -11c Divide each side by '6'. a = -2.333333333b + -1.833333333c Simplifying a = -2.333333333b + -1.833333333c
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