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Simplifying 2b + 8.5 = 5.1b + -11.65 Reorder the terms: 8.5 + 2b = 5.1b + -11.65 Reorder the terms: 8.5 + 2b = -11.65 + 5.1b Solving 8.5 + 2b = -11.65 + 5.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.1b' to each side of the equation. 8.5 + 2b + -5.1b = -11.65 + 5.1b + -5.1b Combine like terms: 2b + -5.1b = -3.1b 8.5 + -3.1b = -11.65 + 5.1b + -5.1b Combine like terms: 5.1b + -5.1b = 0.0 8.5 + -3.1b = -11.65 + 0.0 8.5 + -3.1b = -11.65 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -3.1b = -11.65 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -3.1b = -11.65 + -8.5 -3.1b = -11.65 + -8.5 Combine like terms: -11.65 + -8.5 = -20.15 -3.1b = -20.15 Divide each side by '-3.1'. b = 6.5 Simplifying b = 6.5
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