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Simplifying 6d + 11 = 3d + 47 Reorder the terms: 11 + 6d = 3d + 47 Reorder the terms: 11 + 6d = 47 + 3d Solving 11 + 6d = 47 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 11 + 6d + -3d = 47 + 3d + -3d Combine like terms: 6d + -3d = 3d 11 + 3d = 47 + 3d + -3d Combine like terms: 3d + -3d = 0 11 + 3d = 47 + 0 11 + 3d = 47 Add '-11' to each side of the equation. 11 + -11 + 3d = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 3d = 47 + -11 3d = 47 + -11 Combine like terms: 47 + -11 = 36 3d = 36 Divide each side by '3'. d = 12 Simplifying d = 12
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