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Simplifying 10d + 2 = 6d + 38 Reorder the terms: 2 + 10d = 6d + 38 Reorder the terms: 2 + 10d = 38 + 6d Solving 2 + 10d = 38 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 2 + 10d + -6d = 38 + 6d + -6d Combine like terms: 10d + -6d = 4d 2 + 4d = 38 + 6d + -6d Combine like terms: 6d + -6d = 0 2 + 4d = 38 + 0 2 + 4d = 38 Add '-2' to each side of the equation. 2 + -2 + 4d = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 4d = 38 + -2 4d = 38 + -2 Combine like terms: 38 + -2 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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