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Simplifying 3(4b + 1) + 5 = 32 Reorder the terms: 3(1 + 4b) + 5 = 32 (1 * 3 + 4b * 3) + 5 = 32 (3 + 12b) + 5 = 32 Reorder the terms: 3 + 5 + 12b = 32 Combine like terms: 3 + 5 = 8 8 + 12b = 32 Solving 8 + 12b = 32 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. 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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