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Simplifying 13a + 17b + 4c + 6c + -3b + -4a = 0 Reorder the terms: 13a + -4a + 17b + -3b + 4c + 6c = 0 Combine like terms: 13a + -4a = 9a 9a + 17b + -3b + 4c + 6c = 0 Combine like terms: 17b + -3b = 14b 9a + 14b + 4c + 6c = 0 Combine like terms: 4c + 6c = 10c 9a + 14b + 10c = 0 Solving 9a + 14b + 10c = 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. 9a + 14b + -14b + 10c = 0 + -14b Combine like terms: 14b + -14b = 0 9a + 0 + 10c = 0 + -14b 9a + 10c = 0 + -14b Remove the zero: 9a + 10c = -14b Add '-10c' to each side of the equation. 9a + 10c + -10c = -14b + -10c Combine like terms: 10c + -10c = 0 9a + 0 = -14b + -10c 9a = -14b + -10c Divide each side by '9'. a = -1.555555556b + -1.111111111c Simplifying a = -1.555555556b + -1.111111111c
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