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Simplifying 19a + 19b + 6c + 3c + -5b + -3a = 0 Reorder the terms: 19a + -3a + 19b + -5b + 6c + 3c = 0 Combine like terms: 19a + -3a = 16a 16a + 19b + -5b + 6c + 3c = 0 Combine like terms: 19b + -5b = 14b 16a + 14b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 16a + 14b + 9c = 0 Solving 16a + 14b + 9c = 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. 16a + 14b + -14b + 9c = 0 + -14b Combine like terms: 14b + -14b = 0 16a + 0 + 9c = 0 + -14b 16a + 9c = 0 + -14b Remove the zero: 16a + 9c = -14b Add '-9c' to each side of the equation. 16a + 9c + -9c = -14b + -9c Combine like terms: 9c + -9c = 0 16a + 0 = -14b + -9c 16a = -14b + -9c Divide each side by '16'. a = -0.875b + -0.5625c Simplifying a = -0.875b + -0.5625c
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