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Simplifying 7d + -1 = 3d + 7 Reorder the terms: -1 + 7d = 3d + 7 Reorder the terms: -1 + 7d = 7 + 3d Solving -1 + 7d = 7 + 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. -1 + 7d + -3d = 7 + 3d + -3d Combine like terms: 7d + -3d = 4d -1 + 4d = 7 + 3d + -3d Combine like terms: 3d + -3d = 0 -1 + 4d = 7 + 0 -1 + 4d = 7 Add '1' to each side of the equation. -1 + 1 + 4d = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4d = 7 + 1 4d = 7 + 1 Combine like terms: 7 + 1 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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