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Simplifying 11a + 14b + 2c + 6c + -4b + -5a = 0 Reorder the terms: 11a + -5a + 14b + -4b + 2c + 6c = 0 Combine like terms: 11a + -5a = 6a 6a + 14b + -4b + 2c + 6c = 0 Combine like terms: 14b + -4b = 10b 6a + 10b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 6a + 10b + 8c = 0 Solving 6a + 10b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 6a + 10b + -10b + 8c = 0 + -10b Combine like terms: 10b + -10b = 0 6a + 0 + 8c = 0 + -10b 6a + 8c = 0 + -10b Remove the zero: 6a + 8c = -10b Add '-8c' to each side of the equation. 6a + 8c + -8c = -10b + -8c Combine like terms: 8c + -8c = 0 6a + 0 = -10b + -8c 6a = -10b + -8c Divide each side by '6'. a = -1.666666667b + -1.333333333c Simplifying a = -1.666666667b + -1.333333333c
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