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Simplifying 10d + 8 = 6d + 32 Reorder the terms: 8 + 10d = 6d + 32 Reorder the terms: 8 + 10d = 32 + 6d Solving 8 + 10d = 32 + 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. 8 + 10d + -6d = 32 + 6d + -6d Combine like terms: 10d + -6d = 4d 8 + 4d = 32 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + 4d = 32 + 0 8 + 4d = 32 Add '-8' to each side of the equation. 8 + -8 + 4d = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4d = 32 + -8 4d = 32 + -8 Combine like terms: 32 + -8 = 24 4d = 24 Divide each side by '4'. d = 6 Simplifying d = 6
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