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Simplifying 19a + 17b + 6c + 3c + -6b + -2a = 0 Reorder the terms: 19a + -2a + 17b + -6b + 6c + 3c = 0 Combine like terms: 19a + -2a = 17a 17a + 17b + -6b + 6c + 3c = 0 Combine like terms: 17b + -6b = 11b 17a + 11b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 17a + 11b + 9c = 0 Solving 17a + 11b + 9c = 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. 17a + 11b + -11b + 9c = 0 + -11b Combine like terms: 11b + -11b = 0 17a + 0 + 9c = 0 + -11b 17a + 9c = 0 + -11b Remove the zero: 17a + 9c = -11b Add '-9c' to each side of the equation. 17a + 9c + -9c = -11b + -9c Combine like terms: 9c + -9c = 0 17a + 0 = -11b + -9c 17a = -11b + -9c Divide each side by '17'. a = -0.6470588235b + -0.5294117647c Simplifying a = -0.6470588235b + -0.5294117647c
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