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Simplifying 10.7b + 8 = 3.8b + 45.26 Reorder the terms: 8 + 10.7b = 3.8b + 45.26 Reorder the terms: 8 + 10.7b = 45.26 + 3.8b Solving 8 + 10.7b = 45.26 + 3.8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.8b' to each side of the equation. 8 + 10.7b + -3.8b = 45.26 + 3.8b + -3.8b Combine like terms: 10.7b + -3.8b = 6.9b 8 + 6.9b = 45.26 + 3.8b + -3.8b Combine like terms: 3.8b + -3.8b = 0.0 8 + 6.9b = 45.26 + 0.0 8 + 6.9b = 45.26 Add '-8' to each side of the equation. 8 + -8 + 6.9b = 45.26 + -8 Combine like terms: 8 + -8 = 0 0 + 6.9b = 45.26 + -8 6.9b = 45.26 + -8 Combine like terms: 45.26 + -8 = 37.26 6.9b = 37.26 Divide each side by '6.9'. b = 5.4 Simplifying b = 5.4
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