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Simplifying 14a + 19b + 3c + 5c + -5b + -5a = 0 Reorder the terms: 14a + -5a + 19b + -5b + 3c + 5c = 0 Combine like terms: 14a + -5a = 9a 9a + 19b + -5b + 3c + 5c = 0 Combine like terms: 19b + -5b = 14b 9a + 14b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 9a + 14b + 8c = 0 Solving 9a + 14b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 9a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 9a + 0 + 8c = 0 + -14b 9a + 8c = 0 + -14b Remove the zero: 9a + 8c = -14b Add '-8c' to each side of the equation. 9a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 9a + 0 = -14b + -8c 9a = -14b + -8c Divide each side by '9'. a = -1.555555556b + -0.8888888889c Simplifying a = -1.555555556b + -0.8888888889c
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