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Simplifying 19a + 11b + 4c + 5c + -3b + -6a = 0 Reorder the terms: 19a + -6a + 11b + -3b + 4c + 5c = 0 Combine like terms: 19a + -6a = 13a 13a + 11b + -3b + 4c + 5c = 0 Combine like terms: 11b + -3b = 8b 13a + 8b + 4c + 5c = 0 Combine like terms: 4c + 5c = 9c 13a + 8b + 9c = 0 Solving 13a + 8b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 13a + 8b + -8b + 9c = 0 + -8b Combine like terms: 8b + -8b = 0 13a + 0 + 9c = 0 + -8b 13a + 9c = 0 + -8b Remove the zero: 13a + 9c = -8b Add '-9c' to each side of the equation. 13a + 9c + -9c = -8b + -9c Combine like terms: 9c + -9c = 0 13a + 0 = -8b + -9c 13a = -8b + -9c Divide each side by '13'. a = -0.6153846154b + -0.6923076923c Simplifying a = -0.6153846154b + -0.6923076923c
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