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Simplifying 5d + -1d + -3d + 7 = 3d Reorder the terms: 7 + 5d + -1d + -3d = 3d Combine like terms: 5d + -1d = 4d 7 + 4d + -3d = 3d Combine like terms: 4d + -3d = 1d 7 + 1d = 3d Solving 7 + 1d = 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 + 1d + -3d = 3d + -3d Combine like terms: 1d + -3d = -2d 7 + -2d = 3d + -3d Combine like terms: 3d + -3d = 0 7 + -2d = 0 Add '-7' to each side of the equation. 7 + -7 + -2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2d = 0 + -7 -2d = 0 + -7 Combine like terms: 0 + -7 = -7 -2d = -7 Divide each side by '-2'. d = 3.5 Simplifying d = 3.5
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