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Simplifying 19a + 12b + 3c + 6c + -2b + -3a = 0 Reorder the terms: 19a + -3a + 12b + -2b + 3c + 6c = 0 Combine like terms: 19a + -3a = 16a 16a + 12b + -2b + 3c + 6c = 0 Combine like terms: 12b + -2b = 10b 16a + 10b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 16a + 10b + 9c = 0 Solving 16a + 10b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 16a + 10b + -10b + 9c = 0 + -10b Combine like terms: 10b + -10b = 0 16a + 0 + 9c = 0 + -10b 16a + 9c = 0 + -10b Remove the zero: 16a + 9c = -10b Add '-9c' to each side of the equation. 16a + 9c + -9c = -10b + -9c Combine like terms: 9c + -9c = 0 16a + 0 = -10b + -9c 16a = -10b + -9c Divide each side by '16'. a = -0.625b + -0.5625c Simplifying a = -0.625b + -0.5625c
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