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Simplifying 19a + 15b + 6c + 4c + -5b + -5a = 0 Reorder the terms: 19a + -5a + 15b + -5b + 6c + 4c = 0 Combine like terms: 19a + -5a = 14a 14a + 15b + -5b + 6c + 4c = 0 Combine like terms: 15b + -5b = 10b 14a + 10b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 14a + 10b + 10c = 0 Solving 14a + 10b + 10c = 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. 14a + 10b + -10b + 10c = 0 + -10b Combine like terms: 10b + -10b = 0 14a + 0 + 10c = 0 + -10b 14a + 10c = 0 + -10b Remove the zero: 14a + 10c = -10b Add '-10c' to each side of the equation. 14a + 10c + -10c = -10b + -10c Combine like terms: 10c + -10c = 0 14a + 0 = -10b + -10c 14a = -10b + -10c Divide each side by '14'. a = -0.7142857143b + -0.7142857143c Simplifying a = -0.7142857143b + -0.7142857143c
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