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Simplifying 8b + 3a + -3c + -5b + 8a = 0 Reorder the terms: 3a + 8a + 8b + -5b + -3c = 0 Combine like terms: 3a + 8a = 11a 11a + 8b + -5b + -3c = 0 Combine like terms: 8b + -5b = 3b 11a + 3b + -3c = 0 Solving 11a + 3b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 11a + 3b + -3b + -3c = 0 + -3b Combine like terms: 3b + -3b = 0 11a + 0 + -3c = 0 + -3b 11a + -3c = 0 + -3b Remove the zero: 11a + -3c = -3b Add '3c' to each side of the equation. 11a + -3c + 3c = -3b + 3c Combine like terms: -3c + 3c = 0 11a + 0 = -3b + 3c 11a = -3b + 3c Divide each side by '11'. a = -0.2727272727b + 0.2727272727c Simplifying a = -0.2727272727b + 0.2727272727c
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