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Simplifying 18a + 11b + 5c + 4c + -3b + -2a = 0 Reorder the terms: 18a + -2a + 11b + -3b + 5c + 4c = 0 Combine like terms: 18a + -2a = 16a 16a + 11b + -3b + 5c + 4c = 0 Combine like terms: 11b + -3b = 8b 16a + 8b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 16a + 8b + 9c = 0 Solving 16a + 8b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 16a + 8b + -8b + 9c = 0 + -8b Combine like terms: 8b + -8b = 0 16a + 0 + 9c = 0 + -8b 16a + 9c = 0 + -8b Remove the zero: 16a + 9c = -8b Add '-9c' to each side of the equation. 16a + 9c + -9c = -8b + -9c Combine like terms: 9c + -9c = 0 16a + 0 = -8b + -9c 16a = -8b + -9c Divide each side by '16'. a = -0.5b + -0.5625c Simplifying a = -0.5b + -0.5625c
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