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Simplifying 5 + -3d + 26 = 8d + -9 + -6d Reorder the terms: 5 + 26 + -3d = 8d + -9 + -6d Combine like terms: 5 + 26 = 31 31 + -3d = 8d + -9 + -6d Reorder the terms: 31 + -3d = -9 + 8d + -6d Combine like terms: 8d + -6d = 2d 31 + -3d = -9 + 2d Solving 31 + -3d = -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. 31 + -3d + -2d = -9 + 2d + -2d Combine like terms: -3d + -2d = -5d 31 + -5d = -9 + 2d + -2d Combine like terms: 2d + -2d = 0 31 + -5d = -9 + 0 31 + -5d = -9 Add '-31' to each side of the equation. 31 + -31 + -5d = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -5d = -9 + -31 -5d = -9 + -31 Combine like terms: -9 + -31 = -40 -5d = -40 Divide each side by '-5'. d = 8 Simplifying d = 8
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