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Simplifying 3(b + 8) + 6b = 8b + 32 Reorder the terms: 3(8 + b) + 6b = 8b + 32 (8 * 3 + b * 3) + 6b = 8b + 32 (24 + 3b) + 6b = 8b + 32 Combine like terms: 3b + 6b = 9b 24 + 9b = 8b + 32 Reorder the terms: 24 + 9b = 32 + 8b Solving 24 + 9b = 32 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 24 + 9b + -8b = 32 + 8b + -8b Combine like terms: 9b + -8b = 1b 24 + 1b = 32 + 8b + -8b Combine like terms: 8b + -8b = 0 24 + 1b = 32 + 0 24 + 1b = 32 Add '-24' to each side of the equation. 24 + -24 + 1b = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 1b = 32 + -24 1b = 32 + -24 Combine like terms: 32 + -24 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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