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Simplifying 2d + -14 + 3d = 21 + 14 + -2d Reorder the terms: -14 + 2d + 3d = 21 + 14 + -2d Combine like terms: 2d + 3d = 5d -14 + 5d = 21 + 14 + -2d Combine like terms: 21 + 14 = 35 -14 + 5d = 35 + -2d Solving -14 + 5d = 35 + -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. -14 + 5d + 2d = 35 + -2d + 2d Combine like terms: 5d + 2d = 7d -14 + 7d = 35 + -2d + 2d Combine like terms: -2d + 2d = 0 -14 + 7d = 35 + 0 -14 + 7d = 35 Add '14' to each side of the equation. -14 + 14 + 7d = 35 + 14 Combine like terms: -14 + 14 = 0 0 + 7d = 35 + 14 7d = 35 + 14 Combine like terms: 35 + 14 = 49 7d = 49 Divide each side by '7'. d = 7 Simplifying d = 7
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