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Simplifying 5(1 + 2b) = 8b + 15 (1 * 5 + 2b * 5) = 8b + 15 (5 + 10b) = 8b + 15 Reorder the terms: 5 + 10b = 15 + 8b Solving 5 + 10b = 15 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 5 + 10b + -8b = 15 + 8b + -8b Combine like terms: 10b + -8b = 2b 5 + 2b = 15 + 8b + -8b Combine like terms: 8b + -8b = 0 5 + 2b = 15 + 0 5 + 2b = 15 Add '-5' to each side of the equation. 5 + -5 + 2b = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 15 + -5 2b = 15 + -5 Combine like terms: 15 + -5 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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