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Simplifying 5 + 8b = 3b + 5(5b + 5) Reorder the terms: 5 + 8b = 3b + 5(5 + 5b) 5 + 8b = 3b + (5 * 5 + 5b * 5) 5 + 8b = 3b + (25 + 25b) Reorder the terms: 5 + 8b = 25 + 3b + 25b Combine like terms: 3b + 25b = 28b 5 + 8b = 25 + 28b Solving 5 + 8b = 25 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 5 + 8b + -28b = 25 + 28b + -28b Combine like terms: 8b + -28b = -20b 5 + -20b = 25 + 28b + -28b Combine like terms: 28b + -28b = 0 5 + -20b = 25 + 0 5 + -20b = 25 Add '-5' to each side of the equation. 5 + -5 + -20b = 25 + -5 Combine like terms: 5 + -5 = 0 0 + -20b = 25 + -5 -20b = 25 + -5 Combine like terms: 25 + -5 = 20 -20b = 20 Divide each side by '-20'. b = -1 Simplifying b = -1
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