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