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Simplifying 3b + 1 + b = 2b + 9 Reorder the terms: 1 + 3b + b = 2b + 9 Combine like terms: 3b + b = 4b 1 + 4b = 2b + 9 Reorder the terms: 1 + 4b = 9 + 2b Solving 1 + 4b = 9 + 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. 1 + 4b + -2b = 9 + 2b + -2b Combine like terms: 4b + -2b = 2b 1 + 2b = 9 + 2b + -2b Combine like terms: 2b + -2b = 0 1 + 2b = 9 + 0 1 + 2b = 9 Add '-1' to each side of the equation. 1 + -1 + 2b = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 9 + -1 2b = 9 + -1 Combine like terms: 9 + -1 = 8 2b = 8 Divide each side by '2'. b = 4 Simplifying b = 4
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