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Simplifying 5d + -8 = 2d + 7 Reorder the terms: -8 + 5d = 2d + 7 Reorder the terms: -8 + 5d = 7 + 2d Solving -8 + 5d = 7 + 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. -8 + 5d + -2d = 7 + 2d + -2d Combine like terms: 5d + -2d = 3d -8 + 3d = 7 + 2d + -2d Combine like terms: 2d + -2d = 0 -8 + 3d = 7 + 0 -8 + 3d = 7 Add '8' to each side of the equation. -8 + 8 + 3d = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3d = 7 + 8 3d = 7 + 8 Combine like terms: 7 + 8 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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