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Simplifying (10b + 1) = (9b + 8) Reorder the terms: (1 + 10b) = (9b + 8) Remove parenthesis around (1 + 10b) 1 + 10b = (9b + 8) Reorder the terms: 1 + 10b = (8 + 9b) Remove parenthesis around (8 + 9b) 1 + 10b = 8 + 9b Solving 1 + 10b = 8 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 1 + 10b + -9b = 8 + 9b + -9b Combine like terms: 10b + -9b = 1b 1 + 1b = 8 + 9b + -9b Combine like terms: 9b + -9b = 0 1 + 1b = 8 + 0 1 + 1b = 8 Add '-1' to each side of the equation. 1 + -1 + 1b = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1b = 8 + -1 1b = 8 + -1 Combine like terms: 8 + -1 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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