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Simplifying -7(4b + -1) + -6 = -39 + -8b Reorder the terms: -7(-1 + 4b) + -6 = -39 + -8b (-1 * -7 + 4b * -7) + -6 = -39 + -8b (7 + -28b) + -6 = -39 + -8b Reorder the terms: 7 + -6 + -28b = -39 + -8b Combine like terms: 7 + -6 = 1 1 + -28b = -39 + -8b Solving 1 + -28b = -39 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 1 + -28b + 8b = -39 + -8b + 8b Combine like terms: -28b + 8b = -20b 1 + -20b = -39 + -8b + 8b Combine like terms: -8b + 8b = 0 1 + -20b = -39 + 0 1 + -20b = -39 Add '-1' to each side of the equation. 1 + -1 + -20b = -39 + -1 Combine like terms: 1 + -1 = 0 0 + -20b = -39 + -1 -20b = -39 + -1 Combine like terms: -39 + -1 = -40 -20b = -40 Divide each side by '-20'. b = 2 Simplifying b = 2
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