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Simplifying 10d + -25 + -3d = 4d + -1 Reorder the terms: -25 + 10d + -3d = 4d + -1 Combine like terms: 10d + -3d = 7d -25 + 7d = 4d + -1 Reorder the terms: -25 + 7d = -1 + 4d Solving -25 + 7d = -1 + 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. -25 + 7d + -4d = -1 + 4d + -4d Combine like terms: 7d + -4d = 3d -25 + 3d = -1 + 4d + -4d Combine like terms: 4d + -4d = 0 -25 + 3d = -1 + 0 -25 + 3d = -1 Add '25' to each side of the equation. -25 + 25 + 3d = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 3d = -1 + 25 3d = -1 + 25 Combine like terms: -1 + 25 = 24 3d = 24 Divide each side by '3'. d = 8 Simplifying d = 8
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