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Simplifying 18a + 20b + 5c + 6c + -2b + -6a = 0 Reorder the terms: 18a + -6a + 20b + -2b + 5c + 6c = 0 Combine like terms: 18a + -6a = 12a 12a + 20b + -2b + 5c + 6c = 0 Combine like terms: 20b + -2b = 18b 12a + 18b + 5c + 6c = 0 Combine like terms: 5c + 6c = 11c 12a + 18b + 11c = 0 Solving 12a + 18b + 11c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 12a + 18b + -18b + 11c = 0 + -18b Combine like terms: 18b + -18b = 0 12a + 0 + 11c = 0 + -18b 12a + 11c = 0 + -18b Remove the zero: 12a + 11c = -18b Add '-11c' to each side of the equation. 12a + 11c + -11c = -18b + -11c Combine like terms: 11c + -11c = 0 12a + 0 = -18b + -11c 12a = -18b + -11c Divide each side by '12'. a = -1.5b + -0.9166666667c Simplifying a = -1.5b + -0.9166666667c
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