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Simplifying 0.6b + 3.7 = 0.4b + 11.7 Reorder the terms: 3.7 + 0.6b = 0.4b + 11.7 Reorder the terms: 3.7 + 0.6b = 11.7 + 0.4b Solving 3.7 + 0.6b = 11.7 + 0.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.4b' to each side of the equation. 3.7 + 0.6b + -0.4b = 11.7 + 0.4b + -0.4b Combine like terms: 0.6b + -0.4b = 0.2b 3.7 + 0.2b = 11.7 + 0.4b + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 3.7 + 0.2b = 11.7 + 0.0 3.7 + 0.2b = 11.7 Add '-3.7' to each side of the equation. 3.7 + -3.7 + 0.2b = 11.7 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 0.2b = 11.7 + -3.7 0.2b = 11.7 + -3.7 Combine like terms: 11.7 + -3.7 = 8 0.2b = 8 Divide each side by '0.2'. b = 40 Simplifying b = 40
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