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Simplifying 4d + 1 = 2d + 9 Reorder the terms: 1 + 4d = 2d + 9 Reorder the terms: 1 + 4d = 9 + 2d Solving 1 + 4d = 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. 1 + 4d + -2d = 9 + 2d + -2d Combine like terms: 4d + -2d = 2d 1 + 2d = 9 + 2d + -2d Combine like terms: 2d + -2d = 0 1 + 2d = 9 + 0 1 + 2d = 9 Add '-1' to each side of the equation. 1 + -1 + 2d = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 9 + -1 2d = 9 + -1 Combine like terms: 9 + -1 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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