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Simplifying 7d + 9 = 5d + 11 Reorder the terms: 9 + 7d = 5d + 11 Reorder the terms: 9 + 7d = 11 + 5d Solving 9 + 7d = 11 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 9 + 7d + -5d = 11 + 5d + -5d Combine like terms: 7d + -5d = 2d 9 + 2d = 11 + 5d + -5d Combine like terms: 5d + -5d = 0 9 + 2d = 11 + 0 9 + 2d = 11 Add '-9' to each side of the equation. 9 + -9 + 2d = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 11 + -9 2d = 11 + -9 Combine like terms: 11 + -9 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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