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Simplifying 13a + 12b + 3c + 5c + -4b + -6a = 0 Reorder the terms: 13a + -6a + 12b + -4b + 3c + 5c = 0 Combine like terms: 13a + -6a = 7a 7a + 12b + -4b + 3c + 5c = 0 Combine like terms: 12b + -4b = 8b 7a + 8b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 7a + 8b + 8c = 0 Solving 7a + 8b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 7a + 8b + -8b + 8c = 0 + -8b Combine like terms: 8b + -8b = 0 7a + 0 + 8c = 0 + -8b 7a + 8c = 0 + -8b Remove the zero: 7a + 8c = -8b Add '-8c' to each side of the equation. 7a + 8c + -8c = -8b + -8c Combine like terms: 8c + -8c = 0 7a + 0 = -8b + -8c 7a = -8b + -8c Divide each side by '7'. a = -1.142857143b + -1.142857143c Simplifying a = -1.142857143b + -1.142857143c
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