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Simplifying 31 = -8 + 6(b + 5) Reorder the terms: 31 = -8 + 6(5 + b) 31 = -8 + (5 * 6 + b * 6) 31 = -8 + (30 + 6b) Combine like terms: -8 + 30 = 22 31 = 22 + 6b Solving 31 = 22 + 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. 31 + -6b = 22 + 6b + -6b Combine like terms: 6b + -6b = 0 31 + -6b = 22 + 0 31 + -6b = 22 Add '-31' to each side of the equation. 31 + -31 + -6b = 22 + -31 Combine like terms: 31 + -31 = 0 0 + -6b = 22 + -31 -6b = 22 + -31 Combine like terms: 22 + -31 = -9 -6b = -9 Divide each side by '-6'. b = 1.5 Simplifying b = 1.5
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