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Simplifying 4 + 10d = 6 + 8d + 4 Reorder the terms: 4 + 10d = 6 + 4 + 8d Combine like terms: 6 + 4 = 10 4 + 10d = 10 + 8d Solving 4 + 10d = 10 + 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. 4 + 10d + -8d = 10 + 8d + -8d Combine like terms: 10d + -8d = 2d 4 + 2d = 10 + 8d + -8d Combine like terms: 8d + -8d = 0 4 + 2d = 10 + 0 4 + 2d = 10 Add '-4' to each side of the equation. 4 + -4 + 2d = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2d = 10 + -4 2d = 10 + -4 Combine like terms: 10 + -4 = 6 2d = 6 Divide each side by '2'. d = 3 Simplifying d = 3
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