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Simplifying 1.5(b + 5) + 9 = 24 Reorder the terms: 1.5(5 + b) + 9 = 24 (5 * 1.5 + b * 1.5) + 9 = 24 (7.5 + 1.5b) + 9 = 24 Reorder the terms: 7.5 + 9 + 1.5b = 24 Combine like terms: 7.5 + 9 = 16.5 16.5 + 1.5b = 24 Solving 16.5 + 1.5b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16.5' to each side of the equation. 16.5 + -16.5 + 1.5b = 24 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 1.5b = 24 + -16.5 1.5b = 24 + -16.5 Combine like terms: 24 + -16.5 = 7.5 1.5b = 7.5 Divide each side by '1.5'. b = 5 Simplifying b = 5
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