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Simplifying -3d + 7 = 5 + -4d Reorder the terms: 7 + -3d = 5 + -4d Solving 7 + -3d = 5 + -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 = 5 + -4d + 4d Combine like terms: -3d + 4d = 1d 7 + 1d = 5 + -4d + 4d Combine like terms: -4d + 4d = 0 7 + 1d = 5 + 0 7 + 1d = 5 Add '-7' to each side of the equation. 7 + -7 + 1d = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = 5 + -7 1d = 5 + -7 Combine like terms: 5 + -7 = -2 1d = -2 Divide each side by '1'. d = -2 Simplifying d = -2
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