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Simplifying 7d + 14 = 5d + 22 Reorder the terms: 14 + 7d = 5d + 22 Reorder the terms: 14 + 7d = 22 + 5d Solving 14 + 7d = 22 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 14 + 7d + -5d = 22 + 5d + -5d Combine like terms: 7d + -5d = 2d 14 + 2d = 22 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + 2d = 22 + 0 14 + 2d = 22 Add '-14' to each side of the equation. 14 + -14 + 2d = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 2d = 22 + -14 2d = 22 + -14 Combine like terms: 22 + -14 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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