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Simplifying 8.5b + -9.5 = 3.1b + 1.5 Reorder the terms: -9.5 + 8.5b = 3.1b + 1.5 Reorder the terms: -9.5 + 8.5b = 1.5 + 3.1b Solving -9.5 + 8.5b = 1.5 + 3.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.1b' to each side of the equation. -9.5 + 8.5b + -3.1b = 1.5 + 3.1b + -3.1b Combine like terms: 8.5b + -3.1b = 5.4b -9.5 + 5.4b = 1.5 + 3.1b + -3.1b Combine like terms: 3.1b + -3.1b = 0.0 -9.5 + 5.4b = 1.5 + 0.0 -9.5 + 5.4b = 1.5 Add '9.5' to each side of the equation. -9.5 + 9.5 + 5.4b = 1.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 5.4b = 1.5 + 9.5 5.4b = 1.5 + 9.5 Combine like terms: 1.5 + 9.5 = 11 5.4b = 11 Divide each side by '5.4'. b = 2.037037037 Simplifying b = 2.037037037
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