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Simplifying 5(2b + 5) = 5(b + 2.5) Reorder the terms: 5(5 + 2b) = 5(b + 2.5) (5 * 5 + 2b * 5) = 5(b + 2.5) (25 + 10b) = 5(b + 2.5) Reorder the terms: 25 + 10b = 5(2.5 + b) 25 + 10b = (2.5 * 5 + b * 5) 25 + 10b = (12.5 + 5b) Solving 25 + 10b = 12.5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 25 + 10b + -5b = 12.5 + 5b + -5b Combine like terms: 10b + -5b = 5b 25 + 5b = 12.5 + 5b + -5b Combine like terms: 5b + -5b = 0 25 + 5b = 12.5 + 0 25 + 5b = 12.5 Add '-25' to each side of the equation. 25 + -25 + 5b = 12.5 + -25 Combine like terms: 25 + -25 = 0 0 + 5b = 12.5 + -25 5b = 12.5 + -25 Combine like terms: 12.5 + -25 = -12.5 5b = -12.5 Divide each side by '5'. b = -2.5 Simplifying b = -2.5
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