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Simplifying 7d + -2 = 4d + 13 Reorder the terms: -2 + 7d = 4d + 13 Reorder the terms: -2 + 7d = 13 + 4d Solving -2 + 7d = 13 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -2 + 7d + -4d = 13 + 4d + -4d Combine like terms: 7d + -4d = 3d -2 + 3d = 13 + 4d + -4d Combine like terms: 4d + -4d = 0 -2 + 3d = 13 + 0 -2 + 3d = 13 Add '2' to each side of the equation. -2 + 2 + 3d = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3d = 13 + 2 3d = 13 + 2 Combine like terms: 13 + 2 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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