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Simplifying 3(b + 12) = 540 Reorder the terms: 3(12 + b) = 540 (12 * 3 + b * 3) = 540 (36 + 3b) = 540 Solving 36 + 3b = 540 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 3b = 540 + -36 Combine like terms: 36 + -36 = 0 0 + 3b = 540 + -36 3b = 540 + -36 Combine like terms: 540 + -36 = 504 3b = 504 Divide each side by '3'. b = 168 Simplifying b = 168
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