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Simplifying 10d + 21 = 7d Reorder the terms: 21 + 10d = 7d Solving 21 + 10d = 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 21 + 10d + -7d = 7d + -7d Combine like terms: 10d + -7d = 3d 21 + 3d = 7d + -7d Combine like terms: 7d + -7d = 0 21 + 3d = 0 Add '-21' to each side of the equation. 21 + -21 + 3d = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3d = 0 + -21 3d = 0 + -21 Combine like terms: 0 + -21 = -21 3d = -21 Divide each side by '3'. d = -7 Simplifying d = -7
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