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Simplifying 7d + 2 = 5d + 4 Reorder the terms: 2 + 7d = 5d + 4 Reorder the terms: 2 + 7d = 4 + 5d Solving 2 + 7d = 4 + 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. 2 + 7d + -5d = 4 + 5d + -5d Combine like terms: 7d + -5d = 2d 2 + 2d = 4 + 5d + -5d Combine like terms: 5d + -5d = 0 2 + 2d = 4 + 0 2 + 2d = 4 Add '-2' to each side of the equation. 2 + -2 + 2d = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = 4 + -2 2d = 4 + -2 Combine like terms: 4 + -2 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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