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Simplifying 17a + 11b + 3c + 6c + -6b + -6a = 0 Reorder the terms: 17a + -6a + 11b + -6b + 3c + 6c = 0 Combine like terms: 17a + -6a = 11a 11a + 11b + -6b + 3c + 6c = 0 Combine like terms: 11b + -6b = 5b 11a + 5b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 11a + 5b + 9c = 0 Solving 11a + 5b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 11a + 5b + -5b + 9c = 0 + -5b Combine like terms: 5b + -5b = 0 11a + 0 + 9c = 0 + -5b 11a + 9c = 0 + -5b Remove the zero: 11a + 9c = -5b Add '-9c' to each side of the equation. 11a + 9c + -9c = -5b + -9c Combine like terms: 9c + -9c = 0 11a + 0 = -5b + -9c 11a = -5b + -9c Divide each side by '11'. a = -0.4545454545b + -0.8181818182c Simplifying a = -0.4545454545b + -0.8181818182c
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