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Simplifying 19a + 19b + 4c + 4c + -2b + -4a = 0 Reorder the terms: 19a + -4a + 19b + -2b + 4c + 4c = 0 Combine like terms: 19a + -4a = 15a 15a + 19b + -2b + 4c + 4c = 0 Combine like terms: 19b + -2b = 17b 15a + 17b + 4c + 4c = 0 Combine like terms: 4c + 4c = 8c 15a + 17b + 8c = 0 Solving 15a + 17b + 8c = 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. 15a + 17b + -17b + 8c = 0 + -17b Combine like terms: 17b + -17b = 0 15a + 0 + 8c = 0 + -17b 15a + 8c = 0 + -17b Remove the zero: 15a + 8c = -17b Add '-8c' to each side of the equation. 15a + 8c + -8c = -17b + -8c Combine like terms: 8c + -8c = 0 15a + 0 = -17b + -8c 15a = -17b + -8c Divide each side by '15'. a = -1.133333333b + -0.5333333333c Simplifying a = -1.133333333b + -0.5333333333c
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