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Simplifying 7d + 4 = 2d + 9 Reorder the terms: 4 + 7d = 2d + 9 Reorder the terms: 4 + 7d = 9 + 2d Solving 4 + 7d = 9 + 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. 4 + 7d + -2d = 9 + 2d + -2d Combine like terms: 7d + -2d = 5d 4 + 5d = 9 + 2d + -2d Combine like terms: 2d + -2d = 0 4 + 5d = 9 + 0 4 + 5d = 9 Add '-4' to each side of the equation. 4 + -4 + 5d = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = 9 + -4 5d = 9 + -4 Combine like terms: 9 + -4 = 5 5d = 5 Divide each side by '5'. d = 1 Simplifying d = 1
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