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Simplifying -8b + 31 = -7(2b + -7) Reorder the terms: 31 + -8b = -7(2b + -7) Reorder the terms: 31 + -8b = -7(-7 + 2b) 31 + -8b = (-7 * -7 + 2b * -7) 31 + -8b = (49 + -14b) Solving 31 + -8b = 49 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 31 + -8b + 14b = 49 + -14b + 14b Combine like terms: -8b + 14b = 6b 31 + 6b = 49 + -14b + 14b Combine like terms: -14b + 14b = 0 31 + 6b = 49 + 0 31 + 6b = 49 Add '-31' to each side of the equation. 31 + -31 + 6b = 49 + -31 Combine like terms: 31 + -31 = 0 0 + 6b = 49 + -31 6b = 49 + -31 Combine like terms: 49 + -31 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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