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Simplifying 5(b + 1) = 2b + 32 Reorder the terms: 5(1 + b) = 2b + 32 (1 * 5 + b * 5) = 2b + 32 (5 + 5b) = 2b + 32 Reorder the terms: 5 + 5b = 32 + 2b Solving 5 + 5b = 32 + 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. 5 + 5b + -2b = 32 + 2b + -2b Combine like terms: 5b + -2b = 3b 5 + 3b = 32 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + 3b = 32 + 0 5 + 3b = 32 Add '-5' to each side of the equation. 5 + -5 + 3b = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 32 + -5 3b = 32 + -5 Combine like terms: 32 + -5 = 27 3b = 27 Divide each side by '3'. b = 9 Simplifying b = 9
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