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Simplifying 4(2d + 6) = 48 Reorder the terms: 4(6 + 2d) = 48 (6 * 4 + 2d * 4) = 48 (24 + 8d) = 48 Solving 24 + 8d = 48 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8d = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 8d = 48 + -24 8d = 48 + -24 Combine like terms: 48 + -24 = 24 8d = 24 Divide each side by '8'. d = 3 Simplifying d = 3
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