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Simplifying 10d + 17 + -4d = 3 + 8d Reorder the terms: 17 + 10d + -4d = 3 + 8d Combine like terms: 10d + -4d = 6d 17 + 6d = 3 + 8d Solving 17 + 6d = 3 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 17 + 6d + -8d = 3 + 8d + -8d Combine like terms: 6d + -8d = -2d 17 + -2d = 3 + 8d + -8d Combine like terms: 8d + -8d = 0 17 + -2d = 3 + 0 17 + -2d = 3 Add '-17' to each side of the equation. 17 + -17 + -2d = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -2d = 3 + -17 -2d = 3 + -17 Combine like terms: 3 + -17 = -14 -2d = -14 Divide each side by '-2'. d = 7 Simplifying d = 7
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