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Simplifying 18a + 15b + 3c + 2c + -6b + -3a = 0 Reorder the terms: 18a + -3a + 15b + -6b + 3c + 2c = 0 Combine like terms: 18a + -3a = 15a 15a + 15b + -6b + 3c + 2c = 0 Combine like terms: 15b + -6b = 9b 15a + 9b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 15a + 9b + 5c = 0 Solving 15a + 9b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 15a + 9b + -9b + 5c = 0 + -9b Combine like terms: 9b + -9b = 0 15a + 0 + 5c = 0 + -9b 15a + 5c = 0 + -9b Remove the zero: 15a + 5c = -9b Add '-5c' to each side of the equation. 15a + 5c + -5c = -9b + -5c Combine like terms: 5c + -5c = 0 15a + 0 = -9b + -5c 15a = -9b + -5c Divide each side by '15'. a = -0.6b + -0.3333333333c Simplifying a = -0.6b + -0.3333333333c
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