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Simplifying 7d + 9 = 3d + 1 Reorder the terms: 9 + 7d = 3d + 1 Reorder the terms: 9 + 7d = 1 + 3d Solving 9 + 7d = 1 + 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. 9 + 7d + -3d = 1 + 3d + -3d Combine like terms: 7d + -3d = 4d 9 + 4d = 1 + 3d + -3d Combine like terms: 3d + -3d = 0 9 + 4d = 1 + 0 9 + 4d = 1 Add '-9' to each side of the equation. 9 + -9 + 4d = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 1 + -9 4d = 1 + -9 Combine like terms: 1 + -9 = -8 4d = -8 Divide each side by '4'. d = -2 Simplifying d = -2
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