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Simplifying 2a + 13b + -4c + 5a + -3b + 6c = 0 Reorder the terms: 2a + 5a + 13b + -3b + -4c + 6c = 0 Combine like terms: 2a + 5a = 7a 7a + 13b + -3b + -4c + 6c = 0 Combine like terms: 13b + -3b = 10b 7a + 10b + -4c + 6c = 0 Combine like terms: -4c + 6c = 2c 7a + 10b + 2c = 0 Solving 7a + 10b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 7a + 10b + -10b + 2c = 0 + -10b Combine like terms: 10b + -10b = 0 7a + 0 + 2c = 0 + -10b 7a + 2c = 0 + -10b Remove the zero: 7a + 2c = -10b Add '-2c' to each side of the equation. 7a + 2c + -2c = -10b + -2c Combine like terms: 2c + -2c = 0 7a + 0 = -10b + -2c 7a = -10b + -2c Divide each side by '7'. a = -1.428571429b + -0.2857142857c Simplifying a = -1.428571429b + -0.2857142857c
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