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Simplifying 19a + 14b + 2c + 6c + -3b + -2a = 0 Reorder the terms: 19a + -2a + 14b + -3b + 2c + 6c = 0 Combine like terms: 19a + -2a = 17a 17a + 14b + -3b + 2c + 6c = 0 Combine like terms: 14b + -3b = 11b 17a + 11b + 2c + 6c = 0 Combine like terms: 2c + 6c = 8c 17a + 11b + 8c = 0 Solving 17a + 11b + 8c = 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 + 8c = 0 + -11b Combine like terms: 11b + -11b = 0 17a + 0 + 8c = 0 + -11b 17a + 8c = 0 + -11b Remove the zero: 17a + 8c = -11b Add '-8c' to each side of the equation. 17a + 8c + -8c = -11b + -8c Combine like terms: 8c + -8c = 0 17a + 0 = -11b + -8c 17a = -11b + -8c Divide each side by '17'. a = -0.6470588235b + -0.4705882353c Simplifying a = -0.6470588235b + -0.4705882353c
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