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Simplifying 5d + -2 = 2d + 13 Reorder the terms: -2 + 5d = 2d + 13 Reorder the terms: -2 + 5d = 13 + 2d Solving -2 + 5d = 13 + 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. -2 + 5d + -2d = 13 + 2d + -2d Combine like terms: 5d + -2d = 3d -2 + 3d = 13 + 2d + -2d Combine like terms: 2d + -2d = 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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