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Simplifying 7 + 9d + -4 + -4d = 5d + 3 + -1d + 8 Reorder the terms: 7 + -4 + 9d + -4d = 5d + 3 + -1d + 8 Combine like terms: 7 + -4 = 3 3 + 9d + -4d = 5d + 3 + -1d + 8 Combine like terms: 9d + -4d = 5d 3 + 5d = 5d + 3 + -1d + 8 Reorder the terms: 3 + 5d = 3 + 8 + 5d + -1d Combine like terms: 3 + 8 = 11 3 + 5d = 11 + 5d + -1d Combine like terms: 5d + -1d = 4d 3 + 5d = 11 + 4d Solving 3 + 5d = 11 + 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. 3 + 5d + -4d = 11 + 4d + -4d Combine like terms: 5d + -4d = 1d 3 + 1d = 11 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + 1d = 11 + 0 3 + 1d = 11 Add '-3' to each side of the equation. 3 + -3 + 1d = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1d = 11 + -3 1d = 11 + -3 Combine like terms: 11 + -3 = 8 1d = 8 Divide each side by '1'. d = 8 Simplifying d = 8
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