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Simplifying 5d + 6 = 4d + 12 Reorder the terms: 6 + 5d = 4d + 12 Reorder the terms: 6 + 5d = 12 + 4d Solving 6 + 5d = 12 + 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. 6 + 5d + -4d = 12 + 4d + -4d Combine like terms: 5d + -4d = 1d 6 + 1d = 12 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + 1d = 12 + 0 6 + 1d = 12 Add '-6' to each side of the equation. 6 + -6 + 1d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1d = 12 + -6 1d = 12 + -6 Combine like terms: 12 + -6 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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