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Simplifying 19a + 18b + 3c + 3c + -3b + -2a = 0 Reorder the terms: 19a + -2a + 18b + -3b + 3c + 3c = 0 Combine like terms: 19a + -2a = 17a 17a + 18b + -3b + 3c + 3c = 0 Combine like terms: 18b + -3b = 15b 17a + 15b + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c 17a + 15b + 6c = 0 Solving 17a + 15b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 17a + 15b + -15b + 6c = 0 + -15b Combine like terms: 15b + -15b = 0 17a + 0 + 6c = 0 + -15b 17a + 6c = 0 + -15b Remove the zero: 17a + 6c = -15b Add '-6c' to each side of the equation. 17a + 6c + -6c = -15b + -6c Combine like terms: 6c + -6c = 0 17a + 0 = -15b + -6c 17a = -15b + -6c Divide each side by '17'. a = -0.8823529412b + -0.3529411765c Simplifying a = -0.8823529412b + -0.3529411765c
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