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Simplifying -1(1 + -5b) + 8 = -17 + 2b (1 * -1 + -5b * -1) + 8 = -17 + 2b (-1 + 5b) + 8 = -17 + 2b Reorder the terms: -1 + 8 + 5b = -17 + 2b Combine like terms: -1 + 8 = 7 7 + 5b = -17 + 2b Solving 7 + 5b = -17 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7 + 5b + -2b = -17 + 2b + -2b Combine like terms: 5b + -2b = 3b 7 + 3b = -17 + 2b + -2b Combine like terms: 2b + -2b = 0 7 + 3b = -17 + 0 7 + 3b = -17 Add '-7' to each side of the equation. 7 + -7 + 3b = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = -17 + -7 3b = -17 + -7 Combine like terms: -17 + -7 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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