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Simplifying 12b + -23 + 31 = 9b + 41 Reorder the terms: -23 + 31 + 12b = 9b + 41 Combine like terms: -23 + 31 = 8 8 + 12b = 9b + 41 Reorder the terms: 8 + 12b = 41 + 9b Solving 8 + 12b = 41 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 8 + 12b + -9b = 41 + 9b + -9b Combine like terms: 12b + -9b = 3b 8 + 3b = 41 + 9b + -9b Combine like terms: 9b + -9b = 0 8 + 3b = 41 + 0 8 + 3b = 41 Add '-8' to each side of the equation. 8 + -8 + 3b = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 41 + -8 3b = 41 + -8 Combine like terms: 41 + -8 = 33 3b = 33 Divide each side by '3'. b = 11 Simplifying b = 11
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