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Simplifying 7d + 2d + -5d + 4 = 5d Reorder the terms: 4 + 7d + 2d + -5d = 5d Combine like terms: 7d + 2d = 9d 4 + 9d + -5d = 5d Combine like terms: 9d + -5d = 4d 4 + 4d = 5d Solving 4 + 4d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 4 + 4d + -5d = 5d + -5d Combine like terms: 4d + -5d = -1d 4 + -1d = 5d + -5d Combine like terms: 5d + -5d = 0 4 + -1d = 0 Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4
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