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Simplifying 5d + -2 = 3d + 10 Reorder the terms: -2 + 5d = 3d + 10 Reorder the terms: -2 + 5d = 10 + 3d Solving -2 + 5d = 10 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -2 + 5d + -3d = 10 + 3d + -3d Combine like terms: 5d + -3d = 2d -2 + 2d = 10 + 3d + -3d Combine like terms: 3d + -3d = 0 -2 + 2d = 10 + 0 -2 + 2d = 10 Add '2' to each side of the equation. -2 + 2 + 2d = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2d = 10 + 2 2d = 10 + 2 Combine like terms: 10 + 2 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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