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Simplifying 18a + 17b + 4c + 5c + -2b + -2a = 0 Reorder the terms: 18a + -2a + 17b + -2b + 4c + 5c = 0 Combine like terms: 18a + -2a = 16a 16a + 17b + -2b + 4c + 5c = 0 Combine like terms: 17b + -2b = 15b 16a + 15b + 4c + 5c = 0 Combine like terms: 4c + 5c = 9c 16a + 15b + 9c = 0 Solving 16a + 15b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 16a + 15b + -15b + 9c = 0 + -15b Combine like terms: 15b + -15b = 0 16a + 0 + 9c = 0 + -15b 16a + 9c = 0 + -15b Remove the zero: 16a + 9c = -15b Add '-9c' to each side of the equation. 16a + 9c + -9c = -15b + -9c Combine like terms: 9c + -9c = 0 16a + 0 = -15b + -9c 16a = -15b + -9c Divide each side by '16'. a = -0.9375b + -0.5625c Simplifying a = -0.9375b + -0.5625c
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