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Simplifying 7d + -1d + -3d + 7 = 4d Reorder the terms: 7 + 7d + -1d + -3d = 4d Combine like terms: 7d + -1d = 6d 7 + 6d + -3d = 4d Combine like terms: 6d + -3d = 3d 7 + 3d = 4d Solving 7 + 3d = 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. 7 + 3d + -4d = 4d + -4d Combine like terms: 3d + -4d = -1d 7 + -1d = 4d + -4d Combine like terms: 4d + -4d = 0 7 + -1d = 0 Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7
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