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Simplifying 7d + 8 = 2d + 28 + 10 Reorder the terms: 8 + 7d = 2d + 28 + 10 Reorder the terms: 8 + 7d = 28 + 10 + 2d Combine like terms: 28 + 10 = 38 8 + 7d = 38 + 2d Solving 8 + 7d = 38 + 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 + 7d + -2d = 38 + 2d + -2d Combine like terms: 7d + -2d = 5d 8 + 5d = 38 + 2d + -2d Combine like terms: 2d + -2d = 0 8 + 5d = 38 + 0 8 + 5d = 38 Add '-8' to each side of the equation. 8 + -8 + 5d = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5d = 38 + -8 5d = 38 + -8 Combine like terms: 38 + -8 = 30 5d = 30 Divide each side by '5'. d = 6 Simplifying d = 6
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