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Simplifying 19a + 17b + 3c + 3c + -3b + -3a = 0 Reorder the terms: 19a + -3a + 17b + -3b + 3c + 3c = 0 Combine like terms: 19a + -3a = 16a 16a + 17b + -3b + 3c + 3c = 0 Combine like terms: 17b + -3b = 14b 16a + 14b + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c 16a + 14b + 6c = 0 Solving 16a + 14b + 6c = 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 + 6c = 0 + -14b Combine like terms: 14b + -14b = 0 16a + 0 + 6c = 0 + -14b 16a + 6c = 0 + -14b Remove the zero: 16a + 6c = -14b Add '-6c' to each side of the equation. 16a + 6c + -6c = -14b + -6c Combine like terms: 6c + -6c = 0 16a + 0 = -14b + -6c 16a = -14b + -6c Divide each side by '16'. a = -0.875b + -0.375c Simplifying a = -0.875b + -0.375c
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