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Simplifying 7 + -8d = 3d + 51 Reorder the terms: 7 + -8d = 51 + 3d Solving 7 + -8d = 51 + 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 + -8d + -3d = 51 + 3d + -3d Combine like terms: -8d + -3d = -11d 7 + -11d = 51 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + -11d = 51 + 0 7 + -11d = 51 Add '-7' to each side of the equation. 7 + -7 + -11d = 51 + -7 Combine like terms: 7 + -7 = 0 0 + -11d = 51 + -7 -11d = 51 + -7 Combine like terms: 51 + -7 = 44 -11d = 44 Divide each side by '-11'. d = -4 Simplifying d = -4
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