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Simplifying 5d + 15 = 2d + 21 Reorder the terms: 15 + 5d = 2d + 21 Reorder the terms: 15 + 5d = 21 + 2d Solving 15 + 5d = 21 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 15 + 5d + -2d = 21 + 2d + -2d Combine like terms: 5d + -2d = 3d 15 + 3d = 21 + 2d + -2d Combine like terms: 2d + -2d = 0 15 + 3d = 21 + 0 15 + 3d = 21 Add '-15' to each side of the equation. 15 + -15 + 3d = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 3d = 21 + -15 3d = 21 + -15 Combine like terms: 21 + -15 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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