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Simplifying 7b + 6 = 31 + 2b Reorder the terms: 6 + 7b = 31 + 2b Solving 6 + 7b = 31 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 6 + 7b + -2b = 31 + 2b + -2b Combine like terms: 7b + -2b = 5b 6 + 5b = 31 + 2b + -2b Combine like terms: 2b + -2b = 0 6 + 5b = 31 + 0 6 + 5b = 31 Add '-6' to each side of the equation. 6 + -6 + 5b = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 31 + -6 5b = 31 + -6 Combine like terms: 31 + -6 = 25 5b = 25 Divide each side by '5'. b = 5 Simplifying b = 5
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