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Simplifying 2 + 4d + 5 = 9 + 3d Reorder the terms: 2 + 5 + 4d = 9 + 3d Combine like terms: 2 + 5 = 7 7 + 4d = 9 + 3d Solving 7 + 4d = 9 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 7 + 4d + -3d = 9 + 3d + -3d Combine like terms: 4d + -3d = 1d 7 + 1d = 9 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 1d = 9 + 0 7 + 1d = 9 Add '-7' to each side of the equation. 7 + -7 + 1d = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = 9 + -7 1d = 9 + -7 Combine like terms: 9 + -7 = 2 1d = 2 Divide each side by '1'. d = 2 Simplifying d = 2
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