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Simplifying 3(b + -9) = 3 + b Reorder the terms: 3(-9 + b) = 3 + b (-9 * 3 + b * 3) = 3 + b (-27 + 3b) = 3 + b Solving -27 + 3b = 3 + 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. -27 + 3b + -1b = 3 + b + -1b Combine like terms: 3b + -1b = 2b -27 + 2b = 3 + b + -1b Combine like terms: b + -1b = 0 -27 + 2b = 3 + 0 -27 + 2b = 3 Add '27' to each side of the equation. -27 + 27 + 2b = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 2b = 3 + 27 2b = 3 + 27 Combine like terms: 3 + 27 = 30 2b = 30 Divide each side by '2'. b = 15 Simplifying b = 15
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