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Simplifying 0.5(5b + 11) = 19 Reorder the terms: 0.5(11 + 5b) = 19 (11 * 0.5 + 5b * 0.5) = 19 (5.5 + 2.5b) = 19 Solving 5.5 + 2.5b = 19 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + 2.5b = 19 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2.5b = 19 + -5.5 2.5b = 19 + -5.5 Combine like terms: 19 + -5.5 = 13.5 2.5b = 13.5 Divide each side by '2.5'. b = 5.4 Simplifying b = 5.4
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