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Simplifying 3.1(b + 3) = 9.78 + -2b Reorder the terms: 3.1(3 + b) = 9.78 + -2b (3 * 3.1 + b * 3.1) = 9.78 + -2b (9.3 + 3.1b) = 9.78 + -2b Solving 9.3 + 3.1b = 9.78 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 9.3 + 3.1b + 2b = 9.78 + -2b + 2b Combine like terms: 3.1b + 2b = 5.1b 9.3 + 5.1b = 9.78 + -2b + 2b Combine like terms: -2b + 2b = 0 9.3 + 5.1b = 9.78 + 0 9.3 + 5.1b = 9.78 Add '-9.3' to each side of the equation. 9.3 + -9.3 + 5.1b = 9.78 + -9.3 Combine like terms: 9.3 + -9.3 = 0.0 0.0 + 5.1b = 9.78 + -9.3 5.1b = 9.78 + -9.3 Combine like terms: 9.78 + -9.3 = 0.48 5.1b = 0.48 Divide each side by '5.1'. b = 0.09411764706 Simplifying b = 0.09411764706
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