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Simplifying 4(5b + 2) = 32 + 8b Reorder the terms: 4(2 + 5b) = 32 + 8b (2 * 4 + 5b * 4) = 32 + 8b (8 + 20b) = 32 + 8b Solving 8 + 20b = 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. 8 + 20b + -8b = 32 + 8b + -8b Combine like terms: 20b + -8b = 12b 8 + 12b = 32 + 8b + -8b Combine like terms: 8b + -8b = 0 8 + 12b = 32 + 0 8 + 12b = 32 Add '-8' to each side of the equation. 8 + -8 + 12b = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 12b = 32 + -8 12b = 32 + -8 Combine like terms: 32 + -8 = 24 12b = 24 Divide each side by '12'. b = 2 Simplifying b = 2
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