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Simplifying 5b + 2c = 7c + -3b Reorder the terms: 5b + 2c = -3b + 7c Solving 5b + 2c = -3b + 7c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 5b + 3b + 2c = -3b + 3b + 7c Combine like terms: 5b + 3b = 8b 8b + 2c = -3b + 3b + 7c Combine like terms: -3b + 3b = 0 8b + 2c = 0 + 7c 8b + 2c = 7c Add '-2c' to each side of the equation. 8b + 2c + -2c = 7c + -2c Combine like terms: 2c + -2c = 0 8b + 0 = 7c + -2c 8b = 7c + -2c Combine like terms: 7c + -2c = 5c 8b = 5c Divide each side by '8'. b = 0.625c Simplifying b = 0.625c
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