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Simplifying 5d + -4d + 5d + 9 = 4d Reorder the terms: 9 + 5d + -4d + 5d = 4d Combine like terms: 5d + -4d = 1d 9 + 1d + 5d = 4d Combine like terms: 1d + 5d = 6d 9 + 6d = 4d Solving 9 + 6d = 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. 9 + 6d + -4d = 4d + -4d Combine like terms: 6d + -4d = 2d 9 + 2d = 4d + -4d Combine like terms: 4d + -4d = 0 9 + 2d = 0 Add '-9' to each side of the equation. 9 + -9 + 2d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 0 + -9 2d = 0 + -9 Combine like terms: 0 + -9 = -9 2d = -9 Divide each side by '2'. d = -4.5 Simplifying d = -4.5
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