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Simplifying 2b + 3c = 8c + -3b Reorder the terms: 2b + 3c = -3b + 8c Solving 2b + 3c = -3b + 8c 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. 2b + 3b + 3c = -3b + 3b + 8c Combine like terms: 2b + 3b = 5b 5b + 3c = -3b + 3b + 8c Combine like terms: -3b + 3b = 0 5b + 3c = 0 + 8c 5b + 3c = 8c Add '-3c' to each side of the equation. 5b + 3c + -3c = 8c + -3c Combine like terms: 3c + -3c = 0 5b + 0 = 8c + -3c 5b = 8c + -3c Combine like terms: 8c + -3c = 5c 5b = 5c Divide each side by '5'. b = c Simplifying b = c
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