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Simplifying 0 = 19a + 19b + 6c + 3c + -6b + -3a Reorder the terms: 0 = 19a + -3a + 19b + -6b + 6c + 3c Combine like terms: 19a + -3a = 16a 0 = 16a + 19b + -6b + 6c + 3c Combine like terms: 19b + -6b = 13b 0 = 16a + 13b + 6c + 3c Combine like terms: 6c + 3c = 9c 0 = 16a + 13b + 9c Solving 0 = 16a + 13b + 9c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 0 + -16a = 16a + 13b + -16a + 9c Remove the zero: -16a = 16a + 13b + -16a + 9c Reorder the terms: -16a = 16a + -16a + 13b + 9c Combine like terms: 16a + -16a = 0 -16a = 0 + 13b + 9c -16a = 13b + 9c Divide each side by '-16'. a = -0.8125b + -0.5625c Simplifying a = -0.8125b + -0.5625c
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