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Simplifying -2b + 17 = 31 + -5b Reorder the terms: 17 + -2b = 31 + -5b Solving 17 + -2b = 31 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 17 + -2b + 5b = 31 + -5b + 5b Combine like terms: -2b + 5b = 3b 17 + 3b = 31 + -5b + 5b Combine like terms: -5b + 5b = 0 17 + 3b = 31 + 0 17 + 3b = 31 Add '-17' to each side of the equation. 17 + -17 + 3b = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 3b = 31 + -17 3b = 31 + -17 Combine like terms: 31 + -17 = 14 3b = 14 Divide each side by '3'. b = 4.666666667 Simplifying b = 4.666666667
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