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Simplifying 3b + 11 + -27 = b + 22 Reorder the terms: 11 + -27 + 3b = b + 22 Combine like terms: 11 + -27 = -16 -16 + 3b = b + 22 Reorder the terms: -16 + 3b = 22 + b Solving -16 + 3b = 22 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -16 + 3b + -1b = 22 + b + -1b Combine like terms: 3b + -1b = 2b -16 + 2b = 22 + b + -1b Combine like terms: b + -1b = 0 -16 + 2b = 22 + 0 -16 + 2b = 22 Add '16' to each side of the equation. -16 + 16 + 2b = 22 + 16 Combine like terms: -16 + 16 = 0 0 + 2b = 22 + 16 2b = 22 + 16 Combine like terms: 22 + 16 = 38 2b = 38 Divide each side by '2'. b = 19 Simplifying b = 19
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