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Simplifying 0.13b + 5 + -0.4b = 0.29b + -0.6 Reorder the terms: 5 + 0.13b + -0.4b = 0.29b + -0.6 Combine like terms: 0.13b + -0.4b = -0.27b 5 + -0.27b = 0.29b + -0.6 Reorder the terms: 5 + -0.27b = -0.6 + 0.29b Solving 5 + -0.27b = -0.6 + 0.29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.29b' to each side of the equation. 5 + -0.27b + -0.29b = -0.6 + 0.29b + -0.29b Combine like terms: -0.27b + -0.29b = -0.56b 5 + -0.56b = -0.6 + 0.29b + -0.29b Combine like terms: 0.29b + -0.29b = 0.00 5 + -0.56b = -0.6 + 0.00 5 + -0.56b = -0.6 Add '-5' to each side of the equation. 5 + -5 + -0.56b = -0.6 + -5 Combine like terms: 5 + -5 = 0 0 + -0.56b = -0.6 + -5 -0.56b = -0.6 + -5 Combine like terms: -0.6 + -5 = -5.6 -0.56b = -5.6 Divide each side by '-0.56'. b = 10 Simplifying b = 10
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