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Simplifying 51 + 2b + 3c = 24 Solving 51 + 2b + 3c = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + 2b + -51 + 3c = 24 + -51 Reorder the terms: 51 + -51 + 2b + 3c = 24 + -51 Combine like terms: 51 + -51 = 0 0 + 2b + 3c = 24 + -51 2b + 3c = 24 + -51 Combine like terms: 24 + -51 = -27 2b + 3c = -27 Add '-3c' to each side of the equation. 2b + 3c + -3c = -27 + -3c Combine like terms: 3c + -3c = 0 2b + 0 = -27 + -3c 2b = -27 + -3c Divide each side by '2'. b = -13.5 + -1.5c Simplifying b = -13.5 + -1.5c
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