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Simplifying 6b + 11 = 2b + 47 Reorder the terms: 11 + 6b = 2b + 47 Reorder the terms: 11 + 6b = 47 + 2b Solving 11 + 6b = 47 + 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. 11 + 6b + -2b = 47 + 2b + -2b Combine like terms: 6b + -2b = 4b 11 + 4b = 47 + 2b + -2b Combine like terms: 2b + -2b = 0 11 + 4b = 47 + 0 11 + 4b = 47 Add '-11' to each side of the equation. 11 + -11 + 4b = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 4b = 47 + -11 4b = 47 + -11 Combine like terms: 47 + -11 = 36 4b = 36 Divide each side by '4'. b = 9 Simplifying b = 9
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