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Simplifying 13a + 14b + 2c + 4c + -6b + -4a = 0 Reorder the terms: 13a + -4a + 14b + -6b + 2c + 4c = 0 Combine like terms: 13a + -4a = 9a 9a + 14b + -6b + 2c + 4c = 0 Combine like terms: 14b + -6b = 8b 9a + 8b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 9a + 8b + 6c = 0 Solving 9a + 8b + 6c = 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. 9a + 8b + -8b + 6c = 0 + -8b Combine like terms: 8b + -8b = 0 9a + 0 + 6c = 0 + -8b 9a + 6c = 0 + -8b Remove the zero: 9a + 6c = -8b Add '-6c' to each side of the equation. 9a + 6c + -6c = -8b + -6c Combine like terms: 6c + -6c = 0 9a + 0 = -8b + -6c 9a = -8b + -6c Divide each side by '9'. a = -0.8888888889b + -0.6666666667c Simplifying a = -0.8888888889b + -0.6666666667c
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