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Simplifying 11a + 19b + 6c + 4c + -2b + -4a = 0 Reorder the terms: 11a + -4a + 19b + -2b + 6c + 4c = 0 Combine like terms: 11a + -4a = 7a 7a + 19b + -2b + 6c + 4c = 0 Combine like terms: 19b + -2b = 17b 7a + 17b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 7a + 17b + 10c = 0 Solving 7a + 17b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 7a + 17b + -17b + 10c = 0 + -17b Combine like terms: 17b + -17b = 0 7a + 0 + 10c = 0 + -17b 7a + 10c = 0 + -17b Remove the zero: 7a + 10c = -17b Add '-10c' to each side of the equation. 7a + 10c + -10c = -17b + -10c Combine like terms: 10c + -10c = 0 7a + 0 = -17b + -10c 7a = -17b + -10c Divide each side by '7'. a = -2.428571429b + -1.428571429c Simplifying a = -2.428571429b + -1.428571429c
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