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Simplifying 9b + -31 = 7b + 43 Reorder the terms: -31 + 9b = 7b + 43 Reorder the terms: -31 + 9b = 43 + 7b Solving -31 + 9b = 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 + 9b + -7b = 43 + 7b + -7b Combine like terms: 9b + -7b = 2b -31 + 2b = 43 + 7b + -7b Combine like terms: 7b + -7b = 0 -31 + 2b = 43 + 0 -31 + 2b = 43 Add '31' to each side of the equation. -31 + 31 + 2b = 43 + 31 Combine like terms: -31 + 31 = 0 0 + 2b = 43 + 31 2b = 43 + 31 Combine like terms: 43 + 31 = 74 2b = 74 Divide each side by '2'. b = 37 Simplifying b = 37
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