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Simplifying 3d + -7 = 1 + -5d Reorder the terms: -7 + 3d = 1 + -5d Solving -7 + 3d = 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. -7 + 3d + 5d = 1 + -5d + 5d Combine like terms: 3d + 5d = 8d -7 + 8d = 1 + -5d + 5d Combine like terms: -5d + 5d = 0 -7 + 8d = 1 + 0 -7 + 8d = 1 Add '7' to each side of the equation. -7 + 7 + 8d = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8d = 1 + 7 8d = 1 + 7 Combine like terms: 1 + 7 = 8 8d = 8 Divide each side by '8'. d = 1 Simplifying d = 1
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