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Simplifying 3b + 5 + 5b = 10 + 7b Reorder the terms: 5 + 3b + 5b = 10 + 7b Combine like terms: 3b + 5b = 8b 5 + 8b = 10 + 7b Solving 5 + 8b = 10 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 5 + 8b + -7b = 10 + 7b + -7b Combine like terms: 8b + -7b = 1b 5 + 1b = 10 + 7b + -7b Combine like terms: 7b + -7b = 0 5 + 1b = 10 + 0 5 + 1b = 10 Add '-5' to each side of the equation. 5 + -5 + 1b = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1b = 10 + -5 1b = 10 + -5 Combine like terms: 10 + -5 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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