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Simplifying 11a + 19b + 6c + 3c + -5b + -3a = 0 Reorder the terms: 11a + -3a + 19b + -5b + 6c + 3c = 0 Combine like terms: 11a + -3a = 8a 8a + 19b + -5b + 6c + 3c = 0 Combine like terms: 19b + -5b = 14b 8a + 14b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 8a + 14b + 9c = 0 Solving 8a + 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. 8a + 14b + -14b + 9c = 0 + -14b Combine like terms: 14b + -14b = 0 8a + 0 + 9c = 0 + -14b 8a + 9c = 0 + -14b Remove the zero: 8a + 9c = -14b Add '-9c' to each side of the equation. 8a + 9c + -9c = -14b + -9c Combine like terms: 9c + -9c = 0 8a + 0 = -14b + -9c 8a = -14b + -9c Divide each side by '8'. a = -1.75b + -1.125c Simplifying a = -1.75b + -1.125c
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