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Simplifying -3b + 5(1 + 2b) = 29 + -1b -3b + (1 * 5 + 2b * 5) = 29 + -1b -3b + (5 + 10b) = 29 + -1b Reorder the terms: 5 + -3b + 10b = 29 + -1b Combine like terms: -3b + 10b = 7b 5 + 7b = 29 + -1b Solving 5 + 7b = 29 + -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. 5 + 7b + b = 29 + -1b + b Combine like terms: 7b + b = 8b 5 + 8b = 29 + -1b + b Combine like terms: -1b + b = 0 5 + 8b = 29 + 0 5 + 8b = 29 Add '-5' to each side of the equation. 5 + -5 + 8b = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 8b = 29 + -5 8b = 29 + -5 Combine like terms: 29 + -5 = 24 8b = 24 Divide each side by '8'. b = 3 Simplifying b = 3
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