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Simplifying 18a + 19b + 3c + 2c + -2b + -5a = 0 Reorder the terms: 18a + -5a + 19b + -2b + 3c + 2c = 0 Combine like terms: 18a + -5a = 13a 13a + 19b + -2b + 3c + 2c = 0 Combine like terms: 19b + -2b = 17b 13a + 17b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 13a + 17b + 5c = 0 Solving 13a + 17b + 5c = 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. 13a + 17b + -17b + 5c = 0 + -17b Combine like terms: 17b + -17b = 0 13a + 0 + 5c = 0 + -17b 13a + 5c = 0 + -17b Remove the zero: 13a + 5c = -17b Add '-5c' to each side of the equation. 13a + 5c + -5c = -17b + -5c Combine like terms: 5c + -5c = 0 13a + 0 = -17b + -5c 13a = -17b + -5c Divide each side by '13'. a = -1.307692308b + -0.3846153846c Simplifying a = -1.307692308b + -0.3846153846c
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