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Simplifying 5b + c + -2b + 7c = 0 Reorder the terms: 5b + -2b + c + 7c = 0 Combine like terms: 5b + -2b = 3b 3b + c + 7c = 0 Combine like terms: c + 7c = 8c 3b + 8c = 0 Solving 3b + 8c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8c' to each side of the equation. 3b + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 3b + 0 = 0 + -8c 3b = 0 + -8c Remove the zero: 3b = -8c Divide each side by '3'. b = -2.666666667c Simplifying b = -2.666666667c
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