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Simplifying 5d + 7 = 1 + 2d Reorder the terms: 7 + 5d = 1 + 2d Solving 7 + 5d = 1 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 7 + 5d + -2d = 1 + 2d + -2d Combine like terms: 5d + -2d = 3d 7 + 3d = 1 + 2d + -2d Combine like terms: 2d + -2d = 0 7 + 3d = 1 + 0 7 + 3d = 1 Add '-7' to each side of the equation. 7 + -7 + 3d = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 1 + -7 3d = 1 + -7 Combine like terms: 1 + -7 = -6 3d = -6 Divide each side by '3'. d = -2 Simplifying d = -2
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