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Simplifying 18a + 11b + 2c + 6c + -5b + -4a = 0 Reorder the terms: 18a + -4a + 11b + -5b + 2c + 6c = 0 Combine like terms: 18a + -4a = 14a 14a + 11b + -5b + 2c + 6c = 0 Combine like terms: 11b + -5b = 6b 14a + 6b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 14a + 6b + 8c = 0 Solving 14a + 6b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 14a + 6b + -6b + 8c = 0 + -6b Combine like terms: 6b + -6b = 0 14a + 0 + 8c = 0 + -6b 14a + 8c = 0 + -6b Remove the zero: 14a + 8c = -6b Add '-8c' to each side of the equation. 14a + 8c + -8c = -6b + -8c Combine like terms: 8c + -8c = 0 14a + 0 = -6b + -8c 14a = -6b + -8c Divide each side by '14'. a = -0.4285714286b + -0.5714285714c Simplifying a = -0.4285714286b + -0.5714285714c
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