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Simplifying -8d + 9 = -4d + -9 + -7d Reorder the terms: 9 + -8d = -4d + -9 + -7d Reorder the terms: 9 + -8d = -9 + -4d + -7d Combine like terms: -4d + -7d = -11d 9 + -8d = -9 + -11d Solving 9 + -8d = -9 + -11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '11d' to each side of the equation. 9 + -8d + 11d = -9 + -11d + 11d Combine like terms: -8d + 11d = 3d 9 + 3d = -9 + -11d + 11d Combine like terms: -11d + 11d = 0 9 + 3d = -9 + 0 9 + 3d = -9 Add '-9' to each side of the equation. 9 + -9 + 3d = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 3d = -9 + -9 3d = -9 + -9 Combine like terms: -9 + -9 = -18 3d = -18 Divide each side by '3'. d = -6 Simplifying d = -6
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