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Simplifying 31 + 8b = -23 + 11b Solving 31 + 8b = -23 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 31 + 8b + -11b = -23 + 11b + -11b Combine like terms: 8b + -11b = -3b 31 + -3b = -23 + 11b + -11b Combine like terms: 11b + -11b = 0 31 + -3b = -23 + 0 31 + -3b = -23 Add '-31' to each side of the equation. 31 + -31 + -3b = -23 + -31 Combine like terms: 31 + -31 = 0 0 + -3b = -23 + -31 -3b = -23 + -31 Combine like terms: -23 + -31 = -54 -3b = -54 Divide each side by '-3'. b = 18 Simplifying b = 18
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