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Simplifying 9d + 2 = 4d + 7 Reorder the terms: 2 + 9d = 4d + 7 Reorder the terms: 2 + 9d = 7 + 4d Solving 2 + 9d = 7 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 2 + 9d + -4d = 7 + 4d + -4d Combine like terms: 9d + -4d = 5d 2 + 5d = 7 + 4d + -4d Combine like terms: 4d + -4d = 0 2 + 5d = 7 + 0 2 + 5d = 7 Add '-2' to each side of the equation. 2 + -2 + 5d = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 7 + -2 5d = 7 + -2 Combine like terms: 7 + -2 = 5 5d = 5 Divide each side by '5'. d = 1 Simplifying d = 1
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