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Simplifying 1 + b = 7 + -1b Solving 1 + b = 7 + -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. 1 + b + b = 7 + -1b + b Combine like terms: b + b = 2b 1 + 2b = 7 + -1b + b Combine like terms: -1b + b = 0 1 + 2b = 7 + 0 1 + 2b = 7 Add '-1' to each side of the equation. 1 + -1 + 2b = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 7 + -1 2b = 7 + -1 Combine like terms: 7 + -1 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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