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Simplifying 9.5 + 8.1b = 3(13b + 2) Reorder the terms: 9.5 + 8.1b = 3(2 + 13b) 9.5 + 8.1b = (2 * 3 + 13b * 3) 9.5 + 8.1b = (6 + 39b) Solving 9.5 + 8.1b = 6 + 39b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-39b' to each side of the equation. 9.5 + 8.1b + -39b = 6 + 39b + -39b Combine like terms: 8.1b + -39b = -30.9b 9.5 + -30.9b = 6 + 39b + -39b Combine like terms: 39b + -39b = 0 9.5 + -30.9b = 6 + 0 9.5 + -30.9b = 6 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -30.9b = 6 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -30.9b = 6 + -9.5 -30.9b = 6 + -9.5 Combine like terms: 6 + -9.5 = -3.5 -30.9b = -3.5 Divide each side by '-30.9'. b = 0.1132686084 Simplifying b = 0.1132686084
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