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Simplifying b + 7 = 2b + 1 Reorder the terms: 7 + b = 2b + 1 Reorder the terms: 7 + b = 1 + 2b Solving 7 + b = 1 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7 + b + -2b = 1 + 2b + -2b Combine like terms: b + -2b = -1b 7 + -1b = 1 + 2b + -2b Combine like terms: 2b + -2b = 0 7 + -1b = 1 + 0 7 + -1b = 1 Add '-7' to each side of the equation. 7 + -7 + -1b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 1 + -7 -1b = 1 + -7 Combine like terms: 1 + -7 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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