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Simplifying 8b + 10 + b + -5 = 23 + 2b + 2 + -1b Reorder the terms: 10 + -5 + 8b + b = 23 + 2b + 2 + -1b Combine like terms: 10 + -5 = 5 5 + 8b + b = 23 + 2b + 2 + -1b Combine like terms: 8b + b = 9b 5 + 9b = 23 + 2b + 2 + -1b Reorder the terms: 5 + 9b = 23 + 2 + 2b + -1b Combine like terms: 23 + 2 = 25 5 + 9b = 25 + 2b + -1b Combine like terms: 2b + -1b = 1b 5 + 9b = 25 + 1b Solving 5 + 9b = 25 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 5 + 9b + -1b = 25 + 1b + -1b Combine like terms: 9b + -1b = 8b 5 + 8b = 25 + 1b + -1b Combine like terms: 1b + -1b = 0 5 + 8b = 25 + 0 5 + 8b = 25 Add '-5' to each side of the equation. 5 + -5 + 8b = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 8b = 25 + -5 8b = 25 + -5 Combine like terms: 25 + -5 = 20 8b = 20 Divide each side by '8'. b = 2.5 Simplifying b = 2.5
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