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Simplifying 10b + 31 = 7b + 43 Reorder the terms: 31 + 10b = 7b + 43 Reorder the terms: 31 + 10b = 43 + 7b Solving 31 + 10b = 43 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 31 + 10b + -7b = 43 + 7b + -7b Combine like terms: 10b + -7b = 3b 31 + 3b = 43 + 7b + -7b Combine like terms: 7b + -7b = 0 31 + 3b = 43 + 0 31 + 3b = 43 Add '-31' to each side of the equation. 31 + -31 + 3b = 43 + -31 Combine like terms: 31 + -31 = 0 0 + 3b = 43 + -31 3b = 43 + -31 Combine like terms: 43 + -31 = 12 3b = 12 Divide each side by '3'. b = 4 Simplifying b = 4
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