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Simplifying 2d + -5 = 7 + -2d Reorder the terms: -5 + 2d = 7 + -2d Solving -5 + 2d = 7 + -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. -5 + 2d + 2d = 7 + -2d + 2d Combine like terms: 2d + 2d = 4d -5 + 4d = 7 + -2d + 2d Combine like terms: -2d + 2d = 0 -5 + 4d = 7 + 0 -5 + 4d = 7 Add '5' to each side of the equation. -5 + 5 + 4d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4d = 7 + 5 4d = 7 + 5 Combine like terms: 7 + 5 = 12 4d = 12 Divide each side by '4'. d = 3 Simplifying d = 3
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