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Simplifying 5(5b + 1) = 6b + 5(3b + 1) Reorder the terms: 5(1 + 5b) = 6b + 5(3b + 1) (1 * 5 + 5b * 5) = 6b + 5(3b + 1) (5 + 25b) = 6b + 5(3b + 1) Reorder the terms: 5 + 25b = 6b + 5(1 + 3b) 5 + 25b = 6b + (1 * 5 + 3b * 5) 5 + 25b = 6b + (5 + 15b) Reorder the terms: 5 + 25b = 5 + 6b + 15b Combine like terms: 6b + 15b = 21b 5 + 25b = 5 + 21b Add '-5' to each side of the equation. 5 + -5 + 25b = 5 + -5 + 21b Combine like terms: 5 + -5 = 0 0 + 25b = 5 + -5 + 21b 25b = 5 + -5 + 21b Combine like terms: 5 + -5 = 0 25b = 0 + 21b 25b = 21b Solving 25b = 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 25b + -21b = 21b + -21b Combine like terms: 25b + -21b = 4b 4b = 21b + -21b Combine like terms: 21b + -21b = 0 4b = 0 Divide each side by '4'. b = 0 Simplifying b = 0
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