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Simplifying -5d + 10 + 7 = 4d + -7 Reorder the terms: 10 + 7 + -5d = 4d + -7 Combine like terms: 10 + 7 = 17 17 + -5d = 4d + -7 Reorder the terms: 17 + -5d = -7 + 4d Solving 17 + -5d = -7 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 17 + -5d + -4d = -7 + 4d + -4d Combine like terms: -5d + -4d = -9d 17 + -9d = -7 + 4d + -4d Combine like terms: 4d + -4d = 0 17 + -9d = -7 + 0 17 + -9d = -7 Add '-17' to each side of the equation. 17 + -17 + -9d = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -9d = -7 + -17 -9d = -7 + -17 Combine like terms: -7 + -17 = -24 -9d = -24 Divide each side by '-9'. d = 2.666666667 Simplifying d = 2.666666667
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