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Simplifying 14a + 14b + 8c + 2c + -2b + -6a = 0 Reorder the terms: 14a + -6a + 14b + -2b + 8c + 2c = 0 Combine like terms: 14a + -6a = 8a 8a + 14b + -2b + 8c + 2c = 0 Combine like terms: 14b + -2b = 12b 8a + 12b + 8c + 2c = 0 Combine like terms: 8c + 2c = 10c 8a + 12b + 10c = 0 Solving 8a + 12b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 8a + 12b + -12b + 10c = 0 + -12b Combine like terms: 12b + -12b = 0 8a + 0 + 10c = 0 + -12b 8a + 10c = 0 + -12b Remove the zero: 8a + 10c = -12b Add '-10c' to each side of the equation. 8a + 10c + -10c = -12b + -10c Combine like terms: 10c + -10c = 0 8a + 0 = -12b + -10c 8a = -12b + -10c Divide each side by '8'. a = -1.5b + -1.25c Simplifying a = -1.5b + -1.25c
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