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Simplifying 1.5(6 + b) + 9 = 24 (6 * 1.5 + b * 1.5) + 9 = 24 (9 + 1.5b) + 9 = 24 Reorder the terms: 9 + 9 + 1.5b = 24 Combine like terms: 9 + 9 = 18 18 + 1.5b = 24 Solving 18 + 1.5b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1.5b = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 1.5b = 24 + -18 1.5b = 24 + -18 Combine like terms: 24 + -18 = 6 1.5b = 6 Divide each side by '1.5'. b = 4 Simplifying b = 4
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