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Simplifying 14a + 14b + 3c + 5c + -3b + -3a = 0 Reorder the terms: 14a + -3a + 14b + -3b + 3c + 5c = 0 Combine like terms: 14a + -3a = 11a 11a + 14b + -3b + 3c + 5c = 0 Combine like terms: 14b + -3b = 11b 11a + 11b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 11a + 11b + 8c = 0 Solving 11a + 11b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 11a + 11b + -11b + 8c = 0 + -11b Combine like terms: 11b + -11b = 0 11a + 0 + 8c = 0 + -11b 11a + 8c = 0 + -11b Remove the zero: 11a + 8c = -11b Add '-8c' to each side of the equation. 11a + 8c + -8c = -11b + -8c Combine like terms: 8c + -8c = 0 11a + 0 = -11b + -8c 11a = -11b + -8c Divide each side by '11'. a = -1b + -0.7272727273c Simplifying a = -1b + -0.7272727273c
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