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Simplifying 0.7b + 3.5 = 0.5b + 11.5 Reorder the terms: 3.5 + 0.7b = 0.5b + 11.5 Reorder the terms: 3.5 + 0.7b = 11.5 + 0.5b Solving 3.5 + 0.7b = 11.5 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 3.5 + 0.7b + -0.5b = 11.5 + 0.5b + -0.5b Combine like terms: 0.7b + -0.5b = 0.2b 3.5 + 0.2b = 11.5 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 3.5 + 0.2b = 11.5 + 0.0 3.5 + 0.2b = 11.5 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.2b = 11.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.2b = 11.5 + -3.5 0.2b = 11.5 + -3.5 Combine like terms: 11.5 + -3.5 = 8 0.2b = 8 Divide each side by '0.2'. b = 40 Simplifying b = 40
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