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Simplifying 13a + 12b + 6c + 3c + -3b + -6a = 0 Reorder the terms: 13a + -6a + 12b + -3b + 6c + 3c = 0 Combine like terms: 13a + -6a = 7a 7a + 12b + -3b + 6c + 3c = 0 Combine like terms: 12b + -3b = 9b 7a + 9b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 7a + 9b + 9c = 0 Solving 7a + 9b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 7a + 9b + -9b + 9c = 0 + -9b Combine like terms: 9b + -9b = 0 7a + 0 + 9c = 0 + -9b 7a + 9c = 0 + -9b Remove the zero: 7a + 9c = -9b Add '-9c' to each side of the equation. 7a + 9c + -9c = -9b + -9c Combine like terms: 9c + -9c = 0 7a + 0 = -9b + -9c 7a = -9b + -9c Divide each side by '7'. a = -1.285714286b + -1.285714286c Simplifying a = -1.285714286b + -1.285714286c
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