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Simplifying -8(-1b + 7) = -7 + b Reorder the terms: -8(7 + -1b) = -7 + b (7 * -8 + -1b * -8) = -7 + b (-56 + 8b) = -7 + b Solving -56 + 8b = -7 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -56 + 8b + -1b = -7 + b + -1b Combine like terms: 8b + -1b = 7b -56 + 7b = -7 + b + -1b Combine like terms: b + -1b = 0 -56 + 7b = -7 + 0 -56 + 7b = -7 Add '56' to each side of the equation. -56 + 56 + 7b = -7 + 56 Combine like terms: -56 + 56 = 0 0 + 7b = -7 + 56 7b = -7 + 56 Combine like terms: -7 + 56 = 49 7b = 49 Divide each side by '7'. b = 7 Simplifying b = 7
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