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Simplifying 19a + 18b + 2c + 3c + -2b + -6a = 0 Reorder the terms: 19a + -6a + 18b + -2b + 2c + 3c = 0 Combine like terms: 19a + -6a = 13a 13a + 18b + -2b + 2c + 3c = 0 Combine like terms: 18b + -2b = 16b 13a + 16b + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 13a + 16b + 5c = 0 Solving 13a + 16b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 13a + 16b + -16b + 5c = 0 + -16b Combine like terms: 16b + -16b = 0 13a + 0 + 5c = 0 + -16b 13a + 5c = 0 + -16b Remove the zero: 13a + 5c = -16b Add '-5c' to each side of the equation. 13a + 5c + -5c = -16b + -5c Combine like terms: 5c + -5c = 0 13a + 0 = -16b + -5c 13a = -16b + -5c Divide each side by '13'. a = -1.230769231b + -0.3846153846c Simplifying a = -1.230769231b + -0.3846153846c
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