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Simplifying 2b + 9 = b + 17 Reorder the terms: 9 + 2b = b + 17 Reorder the terms: 9 + 2b = 17 + b Solving 9 + 2b = 17 + b 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. 9 + 2b + -1b = 17 + b + -1b Combine like terms: 2b + -1b = 1b 9 + 1b = 17 + b + -1b Combine like terms: b + -1b = 0 9 + 1b = 17 + 0 9 + 1b = 17 Add '-9' to each side of the equation. 9 + -9 + 1b = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1b = 17 + -9 1b = 17 + -9 Combine like terms: 17 + -9 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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