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Simplifying 2(1 + 5b) + -1 = 17 + 8b (1 * 2 + 5b * 2) + -1 = 17 + 8b (2 + 10b) + -1 = 17 + 8b Reorder the terms: 2 + -1 + 10b = 17 + 8b Combine like terms: 2 + -1 = 1 1 + 10b = 17 + 8b Solving 1 + 10b = 17 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 1 + 10b + -8b = 17 + 8b + -8b Combine like terms: 10b + -8b = 2b 1 + 2b = 17 + 8b + -8b Combine like terms: 8b + -8b = 0 1 + 2b = 17 + 0 1 + 2b = 17 Add '-1' to each side of the equation. 1 + -1 + 2b = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 17 + -1 2b = 17 + -1 Combine like terms: 17 + -1 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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