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Simplifying (10b + 97) = (5b + 82) Reorder the terms: (97 + 10b) = (5b + 82) Remove parenthesis around (97 + 10b) 97 + 10b = (5b + 82) Reorder the terms: 97 + 10b = (82 + 5b) Remove parenthesis around (82 + 5b) 97 + 10b = 82 + 5b Solving 97 + 10b = 82 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 97 + 10b + -5b = 82 + 5b + -5b Combine like terms: 10b + -5b = 5b 97 + 5b = 82 + 5b + -5b Combine like terms: 5b + -5b = 0 97 + 5b = 82 + 0 97 + 5b = 82 Add '-97' to each side of the equation. 97 + -97 + 5b = 82 + -97 Combine like terms: 97 + -97 = 0 0 + 5b = 82 + -97 5b = 82 + -97 Combine like terms: 82 + -97 = -15 5b = -15 Divide each side by '5'. b = -3 Simplifying b = -3
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