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Simplifying 12d + 21 = 15d + 3 Reorder the terms: 21 + 12d = 15d + 3 Reorder the terms: 21 + 12d = 3 + 15d Solving 21 + 12d = 3 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 21 + 12d + -15d = 3 + 15d + -15d Combine like terms: 12d + -15d = -3d 21 + -3d = 3 + 15d + -15d Combine like terms: 15d + -15d = 0 21 + -3d = 3 + 0 21 + -3d = 3 Add '-21' to each side of the equation. 21 + -21 + -3d = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -3d = 3 + -21 -3d = 3 + -21 Combine like terms: 3 + -21 = -18 -3d = -18 Divide each side by '-3'. d = 6 Simplifying d = 6
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