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Simplifying -8(b + 7) = -38 + b Reorder the terms: -8(7 + b) = -38 + b (7 * -8 + b * -8) = -38 + b (-56 + -8b) = -38 + b Solving -56 + -8b = -38 + 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 = -38 + b + -1b Combine like terms: -8b + -1b = -9b -56 + -9b = -38 + b + -1b Combine like terms: b + -1b = 0 -56 + -9b = -38 + 0 -56 + -9b = -38 Add '56' to each side of the equation. -56 + 56 + -9b = -38 + 56 Combine like terms: -56 + 56 = 0 0 + -9b = -38 + 56 -9b = -38 + 56 Combine like terms: -38 + 56 = 18 -9b = 18 Divide each side by '-9'. b = -2 Simplifying b = -2
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