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Simplifying 7d + 2 = 2d + 47 Reorder the terms: 2 + 7d = 2d + 47 Reorder the terms: 2 + 7d = 47 + 2d Solving 2 + 7d = 47 + 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. 2 + 7d + -2d = 47 + 2d + -2d Combine like terms: 7d + -2d = 5d 2 + 5d = 47 + 2d + -2d Combine like terms: 2d + -2d = 0 2 + 5d = 47 + 0 2 + 5d = 47 Add '-2' to each side of the equation. 2 + -2 + 5d = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 47 + -2 5d = 47 + -2 Combine like terms: 47 + -2 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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