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Simplifying 20a + 9b + 5c + 4c + -4b + -6a = 0 Reorder the terms: 20a + -6a + 9b + -4b + 5c + 4c = 0 Combine like terms: 20a + -6a = 14a 14a + 9b + -4b + 5c + 4c = 0 Combine like terms: 9b + -4b = 5b 14a + 5b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 14a + 5b + 9c = 0 Solving 14a + 5b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 14a + 5b + -5b + 9c = 0 + -5b Combine like terms: 5b + -5b = 0 14a + 0 + 9c = 0 + -5b 14a + 9c = 0 + -5b Remove the zero: 14a + 9c = -5b Add '-9c' to each side of the equation. 14a + 9c + -9c = -5b + -9c Combine like terms: 9c + -9c = 0 14a + 0 = -5b + -9c 14a = -5b + -9c Divide each side by '14'. a = -0.3571428571b + -0.6428571429c Simplifying a = -0.3571428571b + -0.6428571429c
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