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Simplifying 7b + 11 = 3b + 31 Reorder the terms: 11 + 7b = 3b + 31 Reorder the terms: 11 + 7b = 31 + 3b Solving 11 + 7b = 31 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 11 + 7b + -3b = 31 + 3b + -3b Combine like terms: 7b + -3b = 4b 11 + 4b = 31 + 3b + -3b Combine like terms: 3b + -3b = 0 11 + 4b = 31 + 0 11 + 4b = 31 Add '-11' to each side of the equation. 11 + -11 + 4b = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 4b = 31 + -11 4b = 31 + -11 Combine like terms: 31 + -11 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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