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Simplifying b + 27 + 9b = 11b + 15 Reorder the terms: 27 + b + 9b = 11b + 15 Combine like terms: b + 9b = 10b 27 + 10b = 11b + 15 Reorder the terms: 27 + 10b = 15 + 11b Solving 27 + 10b = 15 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 27 + 10b + -11b = 15 + 11b + -11b Combine like terms: 10b + -11b = -1b 27 + -1b = 15 + 11b + -11b Combine like terms: 11b + -11b = 0 27 + -1b = 15 + 0 27 + -1b = 15 Add '-27' to each side of the equation. 27 + -27 + -1b = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -1b = 15 + -27 -1b = 15 + -27 Combine like terms: 15 + -27 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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