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Simplifying 11d + 7 = 3d + 48 Reorder the terms: 7 + 11d = 3d + 48 Reorder the terms: 7 + 11d = 48 + 3d Solving 7 + 11d = 48 + 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. 7 + 11d + -3d = 48 + 3d + -3d Combine like terms: 11d + -3d = 8d 7 + 8d = 48 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 8d = 48 + 0 7 + 8d = 48 Add '-7' to each side of the equation. 7 + -7 + 8d = 48 + -7 Combine like terms: 7 + -7 = 0 0 + 8d = 48 + -7 8d = 48 + -7 Combine like terms: 48 + -7 = 41 8d = 41 Divide each side by '8'. d = 5.125 Simplifying d = 5.125
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