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Simplifying b + 51 = -1b + 3 Reorder the terms: 51 + b = -1b + 3 Reorder the terms: 51 + b = 3 + -1b Solving 51 + b = 3 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 51 + b + b = 3 + -1b + b Combine like terms: b + b = 2b 51 + 2b = 3 + -1b + b Combine like terms: -1b + b = 0 51 + 2b = 3 + 0 51 + 2b = 3 Add '-51' to each side of the equation. 51 + -51 + 2b = 3 + -51 Combine like terms: 51 + -51 = 0 0 + 2b = 3 + -51 2b = 3 + -51 Combine like terms: 3 + -51 = -48 2b = -48 Divide each side by '2'. b = -24 Simplifying b = -24
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