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Simplifying 14a + 11b + 2c + 4c + -6b + -6a = 0 Reorder the terms: 14a + -6a + 11b + -6b + 2c + 4c = 0 Combine like terms: 14a + -6a = 8a 8a + 11b + -6b + 2c + 4c = 0 Combine like terms: 11b + -6b = 5b 8a + 5b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 8a + 5b + 6c = 0 Solving 8a + 5b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 8a + 5b + -5b + 6c = 0 + -5b Combine like terms: 5b + -5b = 0 8a + 0 + 6c = 0 + -5b 8a + 6c = 0 + -5b Remove the zero: 8a + 6c = -5b Add '-6c' to each side of the equation. 8a + 6c + -6c = -5b + -6c Combine like terms: 6c + -6c = 0 8a + 0 = -5b + -6c 8a = -5b + -6c Divide each side by '8'. a = -0.625b + -0.75c Simplifying a = -0.625b + -0.75c
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