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Simplifying 13a + 13b + 2c + 5c + -2b + -6a = 0 Reorder the terms: 13a + -6a + 13b + -2b + 2c + 5c = 0 Combine like terms: 13a + -6a = 7a 7a + 13b + -2b + 2c + 5c = 0 Combine like terms: 13b + -2b = 11b 7a + 11b + 2c + 5c = 0 Combine like terms: 2c + 5c = 7c 7a + 11b + 7c = 0 Solving 7a + 11b + 7c = 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. 7a + 11b + -11b + 7c = 0 + -11b Combine like terms: 11b + -11b = 0 7a + 0 + 7c = 0 + -11b 7a + 7c = 0 + -11b Remove the zero: 7a + 7c = -11b Add '-7c' to each side of the equation. 7a + 7c + -7c = -11b + -7c Combine like terms: 7c + -7c = 0 7a + 0 = -11b + -7c 7a = -11b + -7c Divide each side by '7'. a = -1.571428571b + -1c Simplifying a = -1.571428571b + -1c
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