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Simplifying 3(b + 4) = 36 + b Reorder the terms: 3(4 + b) = 36 + b (4 * 3 + b * 3) = 36 + b (12 + 3b) = 36 + b Solving 12 + 3b = 36 + 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. 12 + 3b + -1b = 36 + b + -1b Combine like terms: 3b + -1b = 2b 12 + 2b = 36 + b + -1b Combine like terms: b + -1b = 0 12 + 2b = 36 + 0 12 + 2b = 36 Add '-12' to each side of the equation. 12 + -12 + 2b = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 36 + -12 2b = 36 + -12 Combine like terms: 36 + -12 = 24 2b = 24 Divide each side by '2'. b = 12 Simplifying b = 12
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