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Simplifying b + 8 = 10 + -1b Reorder the terms: 8 + b = 10 + -1b Solving 8 + b = 10 + -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. 8 + b + b = 10 + -1b + b Combine like terms: b + b = 2b 8 + 2b = 10 + -1b + b Combine like terms: -1b + b = 0 8 + 2b = 10 + 0 8 + 2b = 10 Add '-8' to each side of the equation. 8 + -8 + 2b = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = 10 + -8 2b = 10 + -8 Combine like terms: 10 + -8 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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