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Simplifying 14a + 12b + 4c + 3c + -3b + -2a = 0 Reorder the terms: 14a + -2a + 12b + -3b + 4c + 3c = 0 Combine like terms: 14a + -2a = 12a 12a + 12b + -3b + 4c + 3c = 0 Combine like terms: 12b + -3b = 9b 12a + 9b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 12a + 9b + 7c = 0 Solving 12a + 9b + 7c = 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. 12a + 9b + -9b + 7c = 0 + -9b Combine like terms: 9b + -9b = 0 12a + 0 + 7c = 0 + -9b 12a + 7c = 0 + -9b Remove the zero: 12a + 7c = -9b Add '-7c' to each side of the equation. 12a + 7c + -7c = -9b + -7c Combine like terms: 7c + -7c = 0 12a + 0 = -9b + -7c 12a = -9b + -7c Divide each side by '12'. a = -0.75b + -0.5833333333c Simplifying a = -0.75b + -0.5833333333c
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