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Simplifying 0.5(b + 6) + 9 = 24 Reorder the terms: 0.5(6 + b) + 9 = 24 (6 * 0.5 + b * 0.5) + 9 = 24 (3 + 0.5b) + 9 = 24 Reorder the terms: 3 + 9 + 0.5b = 24 Combine like terms: 3 + 9 = 12 12 + 0.5b = 24 Solving 12 + 0.5b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.5b = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 0.5b = 24 + -12 0.5b = 24 + -12 Combine like terms: 24 + -12 = 12 0.5b = 12 Divide each side by '0.5'. b = 24 Simplifying b = 24
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