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Simplifying 10d + 2 = 8d + 12 Reorder the terms: 2 + 10d = 8d + 12 Reorder the terms: 2 + 10d = 12 + 8d Solving 2 + 10d = 12 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 2 + 10d + -8d = 12 + 8d + -8d Combine like terms: 10d + -8d = 2d 2 + 2d = 12 + 8d + -8d Combine like terms: 8d + -8d = 0 2 + 2d = 12 + 0 2 + 2d = 12 Add '-2' to each side of the equation. 2 + -2 + 2d = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = 12 + -2 2d = 12 + -2 Combine like terms: 12 + -2 = 10 2d = 10 Divide each side by '2'. d = 5 Simplifying d = 5
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