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Simplifying 2(2d + 4) = d + 15 Reorder the terms: 2(4 + 2d) = d + 15 (4 * 2 + 2d * 2) = d + 15 (8 + 4d) = d + 15 Reorder the terms: 8 + 4d = 15 + d Solving 8 + 4d = 15 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 8 + 4d + -1d = 15 + d + -1d Combine like terms: 4d + -1d = 3d 8 + 3d = 15 + d + -1d Combine like terms: d + -1d = 0 8 + 3d = 15 + 0 8 + 3d = 15 Add '-8' to each side of the equation. 8 + -8 + 3d = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 15 + -8 3d = 15 + -8 Combine like terms: 15 + -8 = 7 3d = 7 Divide each side by '3'. d = 2.333333333 Simplifying d = 2.333333333
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