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Simplifying -7(2b + -1) + 8 = -17 + -6b Reorder the terms: -7(-1 + 2b) + 8 = -17 + -6b (-1 * -7 + 2b * -7) + 8 = -17 + -6b (7 + -14b) + 8 = -17 + -6b Reorder the terms: 7 + 8 + -14b = -17 + -6b Combine like terms: 7 + 8 = 15 15 + -14b = -17 + -6b Solving 15 + -14b = -17 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 15 + -14b + 6b = -17 + -6b + 6b Combine like terms: -14b + 6b = -8b 15 + -8b = -17 + -6b + 6b Combine like terms: -6b + 6b = 0 15 + -8b = -17 + 0 15 + -8b = -17 Add '-15' to each side of the equation. 15 + -15 + -8b = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -8b = -17 + -15 -8b = -17 + -15 Combine like terms: -17 + -15 = -32 -8b = -32 Divide each side by '-8'. b = 4 Simplifying b = 4
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