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Simplifying 20a + 19b + 6c + 5c + -5b + -2a = 0 Reorder the terms: 20a + -2a + 19b + -5b + 6c + 5c = 0 Combine like terms: 20a + -2a = 18a 18a + 19b + -5b + 6c + 5c = 0 Combine like terms: 19b + -5b = 14b 18a + 14b + 6c + 5c = 0 Combine like terms: 6c + 5c = 11c 18a + 14b + 11c = 0 Solving 18a + 14b + 11c = 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. 18a + 14b + -14b + 11c = 0 + -14b Combine like terms: 14b + -14b = 0 18a + 0 + 11c = 0 + -14b 18a + 11c = 0 + -14b Remove the zero: 18a + 11c = -14b Add '-11c' to each side of the equation. 18a + 11c + -11c = -14b + -11c Combine like terms: 11c + -11c = 0 18a + 0 = -14b + -11c 18a = -14b + -11c Divide each side by '18'. a = -0.7777777778b + -0.6111111111c Simplifying a = -0.7777777778b + -0.6111111111c
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