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Simplifying 6b + 11 = 4b + 27 Reorder the terms: 11 + 6b = 4b + 27 Reorder the terms: 11 + 6b = 27 + 4b Solving 11 + 6b = 27 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 11 + 6b + -4b = 27 + 4b + -4b Combine like terms: 6b + -4b = 2b 11 + 2b = 27 + 4b + -4b Combine like terms: 4b + -4b = 0 11 + 2b = 27 + 0 11 + 2b = 27 Add '-11' to each side of the equation. 11 + -11 + 2b = 27 + -11 Combine like terms: 11 + -11 = 0 0 + 2b = 27 + -11 2b = 27 + -11 Combine like terms: 27 + -11 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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