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Simplifying 29 + 7d = 5d + 15 Reorder the terms: 29 + 7d = 15 + 5d Solving 29 + 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. 29 + 7d + -5d = 15 + 5d + -5d Combine like terms: 7d + -5d = 2d 29 + 2d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 29 + 2d = 15 + 0 29 + 2d = 15 Add '-29' to each side of the equation. 29 + -29 + 2d = 15 + -29 Combine like terms: 29 + -29 = 0 0 + 2d = 15 + -29 2d = 15 + -29 Combine like terms: 15 + -29 = -14 2d = -14 Divide each side by '2'. d = -7 Simplifying d = -7
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