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Simplifying 2b + 1 = b + 7 Reorder the terms: 1 + 2b = b + 7 Reorder the terms: 1 + 2b = 7 + b Solving 1 + 2b = 7 + 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. 1 + 2b + -1b = 7 + b + -1b Combine like terms: 2b + -1b = 1b 1 + 1b = 7 + b + -1b Combine like terms: b + -1b = 0 1 + 1b = 7 + 0 1 + 1b = 7 Add '-1' to each side of the equation. 1 + -1 + 1b = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1b = 7 + -1 1b = 7 + -1 Combine like terms: 7 + -1 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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