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Simplifying 14a + 18b + 6c + 6c + -4b + -3a = 0 Reorder the terms: 14a + -3a + 18b + -4b + 6c + 6c = 0 Combine like terms: 14a + -3a = 11a 11a + 18b + -4b + 6c + 6c = 0 Combine like terms: 18b + -4b = 14b 11a + 14b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 11a + 14b + 12c = 0 Solving 11a + 14b + 12c = 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 + 12c = 0 + -14b Combine like terms: 14b + -14b = 0 11a + 0 + 12c = 0 + -14b 11a + 12c = 0 + -14b Remove the zero: 11a + 12c = -14b Add '-12c' to each side of the equation. 11a + 12c + -12c = -14b + -12c Combine like terms: 12c + -12c = 0 11a + 0 = -14b + -12c 11a = -14b + -12c Divide each side by '11'. a = -1.272727273b + -1.090909091c Simplifying a = -1.272727273b + -1.090909091c
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