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Simplifying 3.9(b + 2) = 8.51 + -3b Reorder the terms: 3.9(2 + b) = 8.51 + -3b (2 * 3.9 + b * 3.9) = 8.51 + -3b (7.8 + 3.9b) = 8.51 + -3b Solving 7.8 + 3.9b = 8.51 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 7.8 + 3.9b + 3b = 8.51 + -3b + 3b Combine like terms: 3.9b + 3b = 6.9b 7.8 + 6.9b = 8.51 + -3b + 3b Combine like terms: -3b + 3b = 0 7.8 + 6.9b = 8.51 + 0 7.8 + 6.9b = 8.51 Add '-7.8' to each side of the equation. 7.8 + -7.8 + 6.9b = 8.51 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 6.9b = 8.51 + -7.8 6.9b = 8.51 + -7.8 Combine like terms: 8.51 + -7.8 = 0.71 6.9b = 0.71 Divide each side by '6.9'. b = 0.1028985507 Simplifying b = 0.1028985507
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