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Simplifying 10d + 2 = 4d + 32 Reorder the terms: 2 + 10d = 4d + 32 Reorder the terms: 2 + 10d = 32 + 4d Solving 2 + 10d = 32 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 2 + 10d + -4d = 32 + 4d + -4d Combine like terms: 10d + -4d = 6d 2 + 6d = 32 + 4d + -4d Combine like terms: 4d + -4d = 0 2 + 6d = 32 + 0 2 + 6d = 32 Add '-2' to each side of the equation. 2 + -2 + 6d = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6d = 32 + -2 6d = 32 + -2 Combine like terms: 32 + -2 = 30 6d = 30 Divide each side by '6'. d = 5 Simplifying d = 5
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