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Simplifying 5d + 11 = 8d + -9 Reorder the terms: 11 + 5d = 8d + -9 Reorder the terms: 11 + 5d = -9 + 8d Solving 11 + 5d = -9 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 11 + 5d + -8d = -9 + 8d + -8d Combine like terms: 5d + -8d = -3d 11 + -3d = -9 + 8d + -8d Combine like terms: 8d + -8d = 0 11 + -3d = -9 + 0 11 + -3d = -9 Add '-11' to each side of the equation. 11 + -11 + -3d = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -3d = -9 + -11 -3d = -9 + -11 Combine like terms: -9 + -11 = -20 -3d = -20 Divide each side by '-3'. d = 6.666666667 Simplifying d = 6.666666667
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