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Simplifying 3(1.5 + 2b) + 2b = 20.5 (1.5 * 3 + 2b * 3) + 2b = 20.5 (4.5 + 6b) + 2b = 20.5 Combine like terms: 6b + 2b = 8b 4.5 + 8b = 20.5 Solving 4.5 + 8b = 20.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 8b = 20.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 8b = 20.5 + -4.5 8b = 20.5 + -4.5 Combine like terms: 20.5 + -4.5 = 16 8b = 16 Divide each side by '8'. b = 2 Simplifying b = 2
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