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Simplifying 2 + 7d = 5d + 15 Reorder the terms: 2 + 7d = 15 + 5d Solving 2 + 7d = 15 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 2 + 7d + -5d = 15 + 5d + -5d Combine like terms: 7d + -5d = 2d 2 + 2d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 2 + 2d = 15 + 0 2 + 2d = 15 Add '-2' to each side of the equation. 2 + -2 + 2d = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = 15 + -2 2d = 15 + -2 Combine like terms: 15 + -2 = 13 2d = 13 Divide each side by '2'. d = 6.5 Simplifying d = 6.5
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