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Simplifying -2b + 8(b + 7) = -1b Reorder the terms: -2b + 8(7 + b) = -1b -2b + (7 * 8 + b * 8) = -1b -2b + (56 + 8b) = -1b Reorder the terms: 56 + -2b + 8b = -1b Combine like terms: -2b + 8b = 6b 56 + 6b = -1b Solving 56 + 6b = -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 56 + 6b + b = -1b + b Combine like terms: 6b + b = 7b 56 + 7b = -1b + b Combine like terms: -1b + b = 0 56 + 7b = 0 Add '-56' to each side of the equation. 56 + -56 + 7b = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 7b = 0 + -56 7b = 0 + -56 Combine like terms: 0 + -56 = -56 7b = -56 Divide each side by '7'. b = -8 Simplifying b = -8
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