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Simplifying 35 + 8b = 7(7b + 5) Reorder the terms: 35 + 8b = 7(5 + 7b) 35 + 8b = (5 * 7 + 7b * 7) 35 + 8b = (35 + 49b) Add '-35' to each side of the equation. 35 + -35 + 8b = 35 + -35 + 49b Combine like terms: 35 + -35 = 0 0 + 8b = 35 + -35 + 49b 8b = 35 + -35 + 49b Combine like terms: 35 + -35 = 0 8b = 0 + 49b 8b = 49b Solving 8b = 49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-49b' to each side of the equation. 8b + -49b = 49b + -49b Combine like terms: 8b + -49b = -41b -41b = 49b + -49b Combine like terms: 49b + -49b = 0 -41b = 0 Divide each side by '-41'. b = 0 Simplifying b = 0
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