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Simplifying 7d + 3 = 2d + 13 Reorder the terms: 3 + 7d = 2d + 13 Reorder the terms: 3 + 7d = 13 + 2d Solving 3 + 7d = 13 + 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 + 7d + -2d = 13 + 2d + -2d Combine like terms: 7d + -2d = 5d 3 + 5d = 13 + 2d + -2d Combine like terms: 2d + -2d = 0 3 + 5d = 13 + 0 3 + 5d = 13 Add '-3' to each side of the equation. 3 + -3 + 5d = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 13 + -3 5d = 13 + -3 Combine like terms: 13 + -3 = 10 5d = 10 Divide each side by '5'. d = 2 Simplifying d = 2
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