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Simplifying 2d + -5 + 7d = 5 + 3d + 10 Reorder the terms: -5 + 2d + 7d = 5 + 3d + 10 Combine like terms: 2d + 7d = 9d -5 + 9d = 5 + 3d + 10 Reorder the terms: -5 + 9d = 5 + 10 + 3d Combine like terms: 5 + 10 = 15 -5 + 9d = 15 + 3d Solving -5 + 9d = 15 + 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. -5 + 9d + -3d = 15 + 3d + -3d Combine like terms: 9d + -3d = 6d -5 + 6d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -5 + 6d = 15 + 0 -5 + 6d = 15 Add '5' to each side of the equation. -5 + 5 + 6d = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 6d = 15 + 5 6d = 15 + 5 Combine like terms: 15 + 5 = 20 6d = 20 Divide each side by '6'. d = 3.333333333 Simplifying d = 3.333333333
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