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Simplifying 14a + 15b + 5c + 4c + -4b + -2a = 0 Reorder the terms: 14a + -2a + 15b + -4b + 5c + 4c = 0 Combine like terms: 14a + -2a = 12a 12a + 15b + -4b + 5c + 4c = 0 Combine like terms: 15b + -4b = 11b 12a + 11b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 12a + 11b + 9c = 0 Solving 12a + 11b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 12a + 11b + -11b + 9c = 0 + -11b Combine like terms: 11b + -11b = 0 12a + 0 + 9c = 0 + -11b 12a + 9c = 0 + -11b Remove the zero: 12a + 9c = -11b Add '-9c' to each side of the equation. 12a + 9c + -9c = -11b + -9c Combine like terms: 9c + -9c = 0 12a + 0 = -11b + -9c 12a = -11b + -9c Divide each side by '12'. a = -0.9166666667b + -0.75c Simplifying a = -0.9166666667b + -0.75c
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