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Simplifying 10d + 8 = 6d + 12 Reorder the terms: 8 + 10d = 6d + 12 Reorder the terms: 8 + 10d = 12 + 6d Solving 8 + 10d = 12 + 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 = 12 + 6d + -6d Combine like terms: 10d + -6d = 4d 8 + 4d = 12 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + 4d = 12 + 0 8 + 4d = 12 Add '-8' to each side of the equation. 8 + -8 + 4d = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4d = 12 + -8 4d = 12 + -8 Combine like terms: 12 + -8 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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