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Simplifying 2b + c + 8 = 14c + -3b Reorder the terms: 8 + 2b + c = 14c + -3b Reorder the terms: 8 + 2b + c = -3b + 14c Solving 8 + 2b + c = -3b + 14c 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. 8 + 2b + 3b + c = -3b + 3b + 14c Combine like terms: 2b + 3b = 5b 8 + 5b + c = -3b + 3b + 14c Combine like terms: -3b + 3b = 0 8 + 5b + c = 0 + 14c 8 + 5b + c = 14c Add '-8' to each side of the equation. 8 + 5b + -8 + c = -8 + 14c Reorder the terms: 8 + -8 + 5b + c = -8 + 14c Combine like terms: 8 + -8 = 0 0 + 5b + c = -8 + 14c 5b + c = -8 + 14c Add '-1c' to each side of the equation. 5b + c + -1c = -8 + 14c + -1c Combine like terms: c + -1c = 0 5b + 0 = -8 + 14c + -1c 5b = -8 + 14c + -1c Combine like terms: 14c + -1c = 13c 5b = -8 + 13c Divide each side by '5'. b = -1.6 + 2.6c Simplifying b = -1.6 + 2.6c
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