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Simplifying 3(d + 8) = 57 Reorder the terms: 3(8 + d) = 57 (8 * 3 + d * 3) = 57 (24 + 3d) = 57 Solving 24 + 3d = 57 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 + 3d = 57 + -24 Combine like terms: 24 + -24 = 0 0 + 3d = 57 + -24 3d = 57 + -24 Combine like terms: 57 + -24 = 33 3d = 33 Divide each side by '3'. d = 11 Simplifying d = 11
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