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Simplifying 6c + 5(a + 2b + -1c) + 6a = 0 6c + (a * 5 + 2b * 5 + -1c * 5) + 6a = 0 6c + (5a + 10b + -5c) + 6a = 0 Reorder the terms: 5a + 6a + 10b + 6c + -5c = 0 Combine like terms: 5a + 6a = 11a 11a + 10b + 6c + -5c = 0 Combine like terms: 6c + -5c = 1c 11a + 10b + 1c = 0 Solving 11a + 10b + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 11a + 10b + -10b + 1c = 0 + -10b Combine like terms: 10b + -10b = 0 11a + 0 + 1c = 0 + -10b 11a + 1c = 0 + -10b Remove the zero: 11a + 1c = -10b Add '-1c' to each side of the equation. 11a + 1c + -1c = -10b + -1c Combine like terms: 1c + -1c = 0 11a + 0 = -10b + -1c 11a = -10b + -1c Divide each side by '11'. a = -0.9090909091b + -0.09090909091c Simplifying a = -0.9090909091b + -0.09090909091c
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