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Simplifying -8(6b + 7) = 31 + 4b Reorder the terms: -8(7 + 6b) = 31 + 4b (7 * -8 + 6b * -8) = 31 + 4b (-56 + -48b) = 31 + 4b Solving -56 + -48b = 31 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -56 + -48b + -4b = 31 + 4b + -4b Combine like terms: -48b + -4b = -52b -56 + -52b = 31 + 4b + -4b Combine like terms: 4b + -4b = 0 -56 + -52b = 31 + 0 -56 + -52b = 31 Add '56' to each side of the equation. -56 + 56 + -52b = 31 + 56 Combine like terms: -56 + 56 = 0 0 + -52b = 31 + 56 -52b = 31 + 56 Combine like terms: 31 + 56 = 87 -52b = 87 Divide each side by '-52'. b = -1.673076923 Simplifying b = -1.673076923
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