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Simplifying 0.125(2b + -5) = 5 + -1b Reorder the terms: 0.125(-5 + 2b) = 5 + -1b (-5 * 0.125 + 2b * 0.125) = 5 + -1b (-0.625 + 0.25b) = 5 + -1b Solving -0.625 + 0.25b = 5 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -0.625 + 0.25b + b = 5 + -1b + b Combine like terms: 0.25b + b = 1.25b -0.625 + 1.25b = 5 + -1b + b Combine like terms: -1b + b = 0 -0.625 + 1.25b = 5 + 0 -0.625 + 1.25b = 5 Add '0.625' to each side of the equation. -0.625 + 0.625 + 1.25b = 5 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + 1.25b = 5 + 0.625 1.25b = 5 + 0.625 Combine like terms: 5 + 0.625 = 5.625 1.25b = 5.625 Divide each side by '1.25'. b = 4.5 Simplifying b = 4.5
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