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Simplifying 0.25(b + 6) = 12 Reorder the terms: 0.25(6 + b) = 12 (6 * 0.25 + b * 0.25) = 12 (1.5 + 0.25b) = 12 Solving 1.5 + 0.25b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.25b = 12 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25b = 12 + -1.5 0.25b = 12 + -1.5 Combine like terms: 12 + -1.5 = 10.5 0.25b = 10.5 Divide each side by '0.25'. b = 42 Simplifying b = 42
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