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Simplifying 2(d + 3) + 3(d + 4) = 38 Reorder the terms: 2(3 + d) + 3(d + 4) = 38 (3 * 2 + d * 2) + 3(d + 4) = 38 (6 + 2d) + 3(d + 4) = 38 Reorder the terms: 6 + 2d + 3(4 + d) = 38 6 + 2d + (4 * 3 + d * 3) = 38 6 + 2d + (12 + 3d) = 38 Reorder the terms: 6 + 12 + 2d + 3d = 38 Combine like terms: 6 + 12 = 18 18 + 2d + 3d = 38 Combine like terms: 2d + 3d = 5d 18 + 5d = 38 Solving 18 + 5d = 38 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5d = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 5d = 38 + -18 5d = 38 + -18 Combine like terms: 38 + -18 = 20 5d = 20 Divide each side by '5'. d = 4 Simplifying d = 4
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