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Simplifying 3d + 2(5d + 4) = 47 Reorder the terms: 3d + 2(4 + 5d) = 47 3d + (4 * 2 + 5d * 2) = 47 3d + (8 + 10d) = 47 Reorder the terms: 8 + 3d + 10d = 47 Combine like terms: 3d + 10d = 13d 8 + 13d = 47 Solving 8 + 13d = 47 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13d = 47 + -8 Combine like terms: 8 + -8 = 0 0 + 13d = 47 + -8 13d = 47 + -8 Combine like terms: 47 + -8 = 39 13d = 39 Divide each side by '13'. d = 3 Simplifying d = 3
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