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Simplifying -7 + 7(b + 8) = -39 + -4b Reorder the terms: -7 + 7(8 + b) = -39 + -4b -7 + (8 * 7 + b * 7) = -39 + -4b -7 + (56 + 7b) = -39 + -4b Combine like terms: -7 + 56 = 49 49 + 7b = -39 + -4b Solving 49 + 7b = -39 + -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. 49 + 7b + 4b = -39 + -4b + 4b Combine like terms: 7b + 4b = 11b 49 + 11b = -39 + -4b + 4b Combine like terms: -4b + 4b = 0 49 + 11b = -39 + 0 49 + 11b = -39 Add '-49' to each side of the equation. 49 + -49 + 11b = -39 + -49 Combine like terms: 49 + -49 = 0 0 + 11b = -39 + -49 11b = -39 + -49 Combine like terms: -39 + -49 = -88 11b = -88 Divide each side by '11'. b = -8 Simplifying b = -8
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