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Simplifying 14a + 18b + 2c + 6c + -4b + -3a = 0 Reorder the terms: 14a + -3a + 18b + -4b + 2c + 6c = 0 Combine like terms: 14a + -3a = 11a 11a + 18b + -4b + 2c + 6c = 0 Combine like terms: 18b + -4b = 14b 11a + 14b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 11a + 14b + 8c = 0 Solving 11a + 14b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 11a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 11a + 0 + 8c = 0 + -14b 11a + 8c = 0 + -14b Remove the zero: 11a + 8c = -14b Add '-8c' to each side of the equation. 11a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 11a + 0 = -14b + -8c 11a = -14b + -8c Divide each side by '11'. a = -1.272727273b + -0.7272727273c Simplifying a = -1.272727273b + -0.7272727273c
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