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Simplifying 11.6b + 2 = 3.8b + 38.66 Reorder the terms: 2 + 11.6b = 3.8b + 38.66 Reorder the terms: 2 + 11.6b = 38.66 + 3.8b Solving 2 + 11.6b = 38.66 + 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. 2 + 11.6b + -3.8b = 38.66 + 3.8b + -3.8b Combine like terms: 11.6b + -3.8b = 7.8b 2 + 7.8b = 38.66 + 3.8b + -3.8b Combine like terms: 3.8b + -3.8b = 0.0 2 + 7.8b = 38.66 + 0.0 2 + 7.8b = 38.66 Add '-2' to each side of the equation. 2 + -2 + 7.8b = 38.66 + -2 Combine like terms: 2 + -2 = 0 0 + 7.8b = 38.66 + -2 7.8b = 38.66 + -2 Combine like terms: 38.66 + -2 = 36.66 7.8b = 36.66 Divide each side by '7.8'. b = 4.7 Simplifying b = 4.7
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