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Simplifying 3b + 7.1 = 2.5b + 11.5 Reorder the terms: 7.1 + 3b = 2.5b + 11.5 Reorder the terms: 7.1 + 3b = 11.5 + 2.5b Solving 7.1 + 3b = 11.5 + 2.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.5b' to each side of the equation. 7.1 + 3b + -2.5b = 11.5 + 2.5b + -2.5b Combine like terms: 3b + -2.5b = 0.5b 7.1 + 0.5b = 11.5 + 2.5b + -2.5b Combine like terms: 2.5b + -2.5b = 0.0 7.1 + 0.5b = 11.5 + 0.0 7.1 + 0.5b = 11.5 Add '-7.1' to each side of the equation. 7.1 + -7.1 + 0.5b = 11.5 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + 0.5b = 11.5 + -7.1 0.5b = 11.5 + -7.1 Combine like terms: 11.5 + -7.1 = 4.4 0.5b = 4.4 Divide each side by '0.5'. b = 8.8 Simplifying b = 8.8
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