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Simplifying 2.5b + -5 = 0.5b + 1 Reorder the terms: -5 + 2.5b = 0.5b + 1 Reorder the terms: -5 + 2.5b = 1 + 0.5b Solving -5 + 2.5b = 1 + 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. -5 + 2.5b + -0.5b = 1 + 0.5b + -0.5b Combine like terms: 2.5b + -0.5b = 2b -5 + 2b = 1 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 -5 + 2b = 1 + 0.0 -5 + 2b = 1 Add '5' to each side of the equation. -5 + 5 + 2b = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 1 + 5 2b = 1 + 5 Combine like terms: 1 + 5 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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