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Simplifying b + 41 = -1b + -7 Reorder the terms: 41 + b = -1b + -7 Reorder the terms: 41 + b = -7 + -1b Solving 41 + b = -7 + -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. 41 + b + b = -7 + -1b + b Combine like terms: b + b = 2b 41 + 2b = -7 + -1b + b Combine like terms: -1b + b = 0 41 + 2b = -7 + 0 41 + 2b = -7 Add '-41' to each side of the equation. 41 + -41 + 2b = -7 + -41 Combine like terms: 41 + -41 = 0 0 + 2b = -7 + -41 2b = -7 + -41 Combine like terms: -7 + -41 = -48 2b = -48 Divide each side by '2'. b = -24 Simplifying b = -24
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