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Simplifying 20a + 13b + 6c + 5c + -2b + -3a = 0 Reorder the terms: 20a + -3a + 13b + -2b + 6c + 5c = 0 Combine like terms: 20a + -3a = 17a 17a + 13b + -2b + 6c + 5c = 0 Combine like terms: 13b + -2b = 11b 17a + 11b + 6c + 5c = 0 Combine like terms: 6c + 5c = 11c 17a + 11b + 11c = 0 Solving 17a + 11b + 11c = 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 + 11c = 0 + -11b Combine like terms: 11b + -11b = 0 17a + 0 + 11c = 0 + -11b 17a + 11c = 0 + -11b Remove the zero: 17a + 11c = -11b Add '-11c' to each side of the equation. 17a + 11c + -11c = -11b + -11c Combine like terms: 11c + -11c = 0 17a + 0 = -11b + -11c 17a = -11b + -11c Divide each side by '17'. a = -0.6470588235b + -0.6470588235c Simplifying a = -0.6470588235b + -0.6470588235c
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