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Simplifying 8d + 2 = 7d + 10 Reorder the terms: 2 + 8d = 7d + 10 Reorder the terms: 2 + 8d = 10 + 7d Solving 2 + 8d = 10 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 2 + 8d + -7d = 10 + 7d + -7d Combine like terms: 8d + -7d = 1d 2 + 1d = 10 + 7d + -7d Combine like terms: 7d + -7d = 0 2 + 1d = 10 + 0 2 + 1d = 10 Add '-2' to each side of the equation. 2 + -2 + 1d = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1d = 10 + -2 1d = 10 + -2 Combine like terms: 10 + -2 = 8 1d = 8 Divide each side by '1'. d = 8 Simplifying d = 8
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