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Simplifying 7d + -2d + 2d + 6 = 3d Reorder the terms: 6 + 7d + -2d + 2d = 3d Combine like terms: 7d + -2d = 5d 6 + 5d + 2d = 3d Combine like terms: 5d + 2d = 7d 6 + 7d = 3d Solving 6 + 7d = 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. 6 + 7d + -3d = 3d + -3d Combine like terms: 7d + -3d = 4d 6 + 4d = 3d + -3d Combine like terms: 3d + -3d = 0 6 + 4d = 0 Add '-6' to each side of the equation. 6 + -6 + 4d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 0 + -6 4d = 0 + -6 Combine like terms: 0 + -6 = -6 4d = -6 Divide each side by '4'. d = -1.5 Simplifying d = -1.5
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