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Simplifying 3b + 4c + -1b + 2c + 5b + -8c = 0 Reorder the terms: 3b + -1b + 5b + 4c + 2c + -8c = 0 Combine like terms: 3b + -1b = 2b 2b + 5b + 4c + 2c + -8c = 0 Combine like terms: 2b + 5b = 7b 7b + 4c + 2c + -8c = 0 Combine like terms: 4c + 2c = 6c 7b + 6c + -8c = 0 Combine like terms: 6c + -8c = -2c 7b + -2c = 0 Solving 7b + -2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2c' to each side of the equation. 7b + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 7b + 0 = 0 + 2c 7b = 0 + 2c Remove the zero: 7b = 2c Divide each side by '7'. b = 0.2857142857c Simplifying b = 0.2857142857c
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