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Simplifying 14a + 20b + 3c + 2c + -5b + -6a = 0 Reorder the terms: 14a + -6a + 20b + -5b + 3c + 2c = 0 Combine like terms: 14a + -6a = 8a 8a + 20b + -5b + 3c + 2c = 0 Combine like terms: 20b + -5b = 15b 8a + 15b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 8a + 15b + 5c = 0 Solving 8a + 15b + 5c = 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. 8a + 15b + -15b + 5c = 0 + -15b Combine like terms: 15b + -15b = 0 8a + 0 + 5c = 0 + -15b 8a + 5c = 0 + -15b Remove the zero: 8a + 5c = -15b Add '-5c' to each side of the equation. 8a + 5c + -5c = -15b + -5c Combine like terms: 5c + -5c = 0 8a + 0 = -15b + -5c 8a = -15b + -5c Divide each side by '8'. a = -1.875b + -0.625c Simplifying a = -1.875b + -0.625c
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