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Simplifying 0.5(4b + 8) = 30 Reorder the terms: 0.5(8 + 4b) = 30 (8 * 0.5 + 4b * 0.5) = 30 (4 + 2b) = 30 Solving 4 + 2b = 30 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2b = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 2b = 30 + -4 2b = 30 + -4 Combine like terms: 30 + -4 = 26 2b = 26 Divide each side by '2'. b = 13 Simplifying b = 13
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