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Simplifying 16a + 12b + 6c + 2c + -2b + -5a = 0 Reorder the terms: 16a + -5a + 12b + -2b + 6c + 2c = 0 Combine like terms: 16a + -5a = 11a 11a + 12b + -2b + 6c + 2c = 0 Combine like terms: 12b + -2b = 10b 11a + 10b + 6c + 2c = 0 Combine like terms: 6c + 2c = 8c 11a + 10b + 8c = 0 Solving 11a + 10b + 8c = 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 + 8c = 0 + -10b Combine like terms: 10b + -10b = 0 11a + 0 + 8c = 0 + -10b 11a + 8c = 0 + -10b Remove the zero: 11a + 8c = -10b Add '-8c' to each side of the equation. 11a + 8c + -8c = -10b + -8c Combine like terms: 8c + -8c = 0 11a + 0 = -10b + -8c 11a = -10b + -8c Divide each side by '11'. a = -0.9090909091b + -0.7272727273c Simplifying a = -0.9090909091b + -0.7272727273c
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