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Simplifying 6d + 21 = 4d + 7 Reorder the terms: 21 + 6d = 4d + 7 Reorder the terms: 21 + 6d = 7 + 4d Solving 21 + 6d = 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. 21 + 6d + -4d = 7 + 4d + -4d Combine like terms: 6d + -4d = 2d 21 + 2d = 7 + 4d + -4d Combine like terms: 4d + -4d = 0 21 + 2d = 7 + 0 21 + 2d = 7 Add '-21' to each side of the equation. 21 + -21 + 2d = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 2d = 7 + -21 2d = 7 + -21 Combine like terms: 7 + -21 = -14 2d = -14 Divide each side by '2'. d = -7 Simplifying d = -7
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