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Simplifying 4(b + 6) = 72 Reorder the terms: 4(6 + b) = 72 (6 * 4 + b * 4) = 72 (24 + 4b) = 72 Solving 24 + 4b = 72 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4b = 72 + -24 Combine like terms: 24 + -24 = 0 0 + 4b = 72 + -24 4b = 72 + -24 Combine like terms: 72 + -24 = 48 4b = 48 Divide each side by '4'. b = 12 Simplifying b = 12
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