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