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Simplifying 18a + 14b + 5c + 3c + -6b + -5a = 0 Reorder the terms: 18a + -5a + 14b + -6b + 5c + 3c = 0 Combine like terms: 18a + -5a = 13a 13a + 14b + -6b + 5c + 3c = 0 Combine like terms: 14b + -6b = 8b 13a + 8b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 13a + 8b + 8c = 0 Solving 13a + 8b + 8c = 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 + 8c = 0 + -8b Combine like terms: 8b + -8b = 0 13a + 0 + 8c = 0 + -8b 13a + 8c = 0 + -8b Remove the zero: 13a + 8c = -8b Add '-8c' to each side of the equation. 13a + 8c + -8c = -8b + -8c Combine like terms: 8c + -8c = 0 13a + 0 = -8b + -8c 13a = -8b + -8c Divide each side by '13'. a = -0.6153846154b + -0.6153846154c Simplifying a = -0.6153846154b + -0.6153846154c
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