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Simplifying 4 + 4d = 7d + -8 Reorder the terms: 4 + 4d = -8 + 7d Solving 4 + 4d = -8 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 4 + 4d + -7d = -8 + 7d + -7d Combine like terms: 4d + -7d = -3d 4 + -3d = -8 + 7d + -7d Combine like terms: 7d + -7d = 0 4 + -3d = -8 + 0 4 + -3d = -8 Add '-4' to each side of the equation. 4 + -4 + -3d = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3d = -8 + -4 -3d = -8 + -4 Combine like terms: -8 + -4 = -12 -3d = -12 Divide each side by '-3'. d = 4 Simplifying d = 4
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