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Simplifying 31 = 41 + -2b Solving 31 = 41 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 31 + 2b = 41 + -2b + 2b Combine like terms: -2b + 2b = 0 31 + 2b = 41 + 0 31 + 2b = 41 Add '-31' to each side of the equation. 31 + -31 + 2b = 41 + -31 Combine like terms: 31 + -31 = 0 0 + 2b = 41 + -31 2b = 41 + -31 Combine like terms: 41 + -31 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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