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Simplifying 4.66b + 0.8 = 2.14 + -0.2b + -0.33 Reorder the terms: 0.8 + 4.66b = 2.14 + -0.2b + -0.33 Reorder the terms: 0.8 + 4.66b = 2.14 + -0.33 + -0.2b Combine like terms: 2.14 + -0.33 = 1.81 0.8 + 4.66b = 1.81 + -0.2b Solving 0.8 + 4.66b = 1.81 + -0.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.2b' to each side of the equation. 0.8 + 4.66b + 0.2b = 1.81 + -0.2b + 0.2b Combine like terms: 4.66b + 0.2b = 4.86b 0.8 + 4.86b = 1.81 + -0.2b + 0.2b Combine like terms: -0.2b + 0.2b = 0.0 0.8 + 4.86b = 1.81 + 0.0 0.8 + 4.86b = 1.81 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 4.86b = 1.81 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 4.86b = 1.81 + -0.8 4.86b = 1.81 + -0.8 Combine like terms: 1.81 + -0.8 = 1.01 4.86b = 1.01 Divide each side by '4.86'. b = 0.20781893 Simplifying b = 0.20781893
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