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Simplifying 6d + 12 = 2d + 32 Reorder the terms: 12 + 6d = 2d + 32 Reorder the terms: 12 + 6d = 32 + 2d Solving 12 + 6d = 32 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 12 + 6d + -2d = 32 + 2d + -2d Combine like terms: 6d + -2d = 4d 12 + 4d = 32 + 2d + -2d Combine like terms: 2d + -2d = 0 12 + 4d = 32 + 0 12 + 4d = 32 Add '-12' to each side of the equation. 12 + -12 + 4d = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4d = 32 + -12 4d = 32 + -12 Combine like terms: 32 + -12 = 20 4d = 20 Divide each side by '4'. d = 5 Simplifying d = 5
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